A passenger train travelling at 96 kmph completely crosses another train having half its length and travelling in opposite direction at 84 kmph, in 24 seconds. It also passes a railway platform in 90 seconds. The length of the platform is A) 1250 m B) 2258m C) 1600 m D) 3725m

A passenger train travelling at 96 kmph completely crosses another train having half its length and travelling in opposite direction at 84 kmph, in 24 seconds. It also passes a railway platform in 90 seconds. The length of the platform is A) 1250 m B) 2258m C) 1600 m D) 3725m
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1 Answer

Answer :

 ANSWER:C

 Explanation:

 Let the length of the first train be x metres

 Then, is x /2metres

 Relative speed = (96+84)kmph

 = 180 kmph

 Convert km/hr into m/s,

 = 180*5/18

 = 50 m/s

 Therefore (x+x/2)/50 = 24

 x+x/2 =1200

 3x/2= 1200

 3x = 2400

 x = 800

 Length of first train = 800 m.

Let the length of platform be y metres.

Speed of the first train = 96*5/18 =480/18 m/s

 Therefore (800+y)/(450+18) = 90

 (800+y) = 90*480/18

 y = 2400- 800

 = 1600

 Hence, the length of the platform is 1600 m
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Related questions

A train travelling at 36 kmph completely crosses another train having half its length and travelling in the opposite direction at 54 kmph, in 12 seconds. If it also passes a railway platform in 112 minutes, the length of the platform is : a) 560 metres b) 620 metres c) 700 meres d) 750 metres e) 720 meters

Description : A train travelling at 36 kmph completely crosses another train having half its length and travelling in the opposite direction at 54 kmph, in 12 seconds. If it also passes a railway platform in 112 minutes, the length ... is : a) 560 metres b) 620 metres c) 700 meres d) 750 metres e) 720 meters

Last Answer : Answer: c)

A goods train overtakes two boys who are walking in the same direction in which the train is going, at the rate of 4 kmph and 8 kmph and passes them completely in 18 and 20seconds respectively. The length of the goods train is : A) 50m B) 200m C) 160m D)80 m

Description : A goods train overtakes two boys who are walking in the same direction in which the train is going, at the rate of 4 kmph and 8 kmph and passes them completely in 18 and 20seconds respectively. The length of the goods train is : A) 50m B) 200m C) 160m D)80 m 

Last Answer : ANSWER:B  Explanation:  Let the length of the goods train be x km and its speed be y km/hr.  Then, speed relative to first boy = (y-4) km/hr.  Speed relative to second boy = (y-8) km/hr.  x/y-4 ... )- 72 / 3600  = 720/3600 = 0.2*1000 = 200 m  Therefore the length of the goods train is 200m

If a train crosses a tree in 24 seconds while travelling at a speed of 90km/hr, then in how much time will the train cross a telegraph post of length 1200m at same speed? A) 26 sec B) 48 sec C) 72 sec D) 38 sec

Description :  If a train crosses a tree in 24 seconds while travelling at a speed of 90km/hr, then in how much time will the train cross a telegraph post of length 1200m at same speed? A) 26 sec B) 48 sec C) 72 sec D) 38 sec 

Last Answer : ANSWER:C Explanation: Speed of the train = 90 km/hr Converting the speed into m/sec 90 km/hr = (90* 5/18)m/s = 25m/s length of the train = distance travelled we know distance = speed * ...  Time = distance / speed  = ( 1800/25) sec  = 72 seconds  Hence the required answer is 72 seconds

A person runs on the platform of 90 m at a speed of 5km/hr in the same direction of the passenger train. Find the time taken by the train to cross the running person if speed of the train is 35.5 km/hr? (Length of train = Length of platform) A) 5.32sec B) 7.5sec C) 12.6sec D) 10.62sec

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Last Answer : ANSWER:D Explanation: speed of the train = 35.5 km/hr speed of the person = 5 km/hr As the train and the running person move in same direction, their speed values are subtracted to find the relative ...  =10.62 sec  Hence, the time taken by the train to cross the running person is 10.62 sec

A train overtakes two persons like A and B who are walking in the same direction in which the train is going, at the rate of 8 kmph and 16 kmph and passes them completely in 36 and 40seconds respectively. The length of the train is: A) 800m B) 750m C) 250m D) 450m

Description : A train overtakes two persons like A and B who are walking in the same direction in which the train is going, at the rate of 8 kmph and 16 kmph and passes them completely in 36 and 40seconds respectively. The length of the train is: A) 800m B) 750m C) 250m D) 450m

Last Answer : ANSWER:A Explanation:  person A at speed = 8kmph  convert the speed in the unit of m/sec  8kmph =( 8*5/18) m/s  = 20/9 m/s  person B at speed = 16 kmph  convert the speed in the unit of m/sec ... = 1600 .(2)  Solving (1)and (2),we get  x =800 m  Therefore length of the train is 800 m

Two trains are running at 120 km/hr and 60km/hr respectively in the same direction. Fast train completely passes a boy sitting in the slower train in 15 seconds. What is the length of the fast train? A) 150m B) 550 m C) 250m D) 215m

Description : Two trains are running at 120 km/hr and 60km/hr respectively in the same direction. Fast train completely passes a boy sitting in the slower train in 15 seconds. What is the length of the fast train? A) 150m B) 550 m C) 250m D) 215m 

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A train crosses a platform and a scooter standing on the platform in 20 seconds, 12seconds respectively.What is the length of the platform if the speed of the train is 25 km/hr? A) 55.8 m B) 75m C) 124m D) 68.5m

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A boy sitting in a train which is travelling at 25 km/hr observes that a goods train travelling in opposite direction, takes 4.5 seconds to pass him. If the train is 140 m long, find its speed. A) 77km/hr B) 79km/hr C) 87km/hr D) 89km/hr

Description : A boy sitting in a train which is travelling at 25 km/hr observes that a goods train travelling in opposite direction, takes 4.5 seconds to pass him. If the train is 140 m long, find its speed. A) 77km/hr B) 79km/hr C) 87km/hr D) 89km/hr

Last Answer : ANSWER : C Explanation: Relative speed = distance / time = (140 / 4.5) m/s = 31.11 m/s Convert m/s into km/hr  31.11 m/s = (31.11 * 18 / 50 km/hr  = (560 / 5) km/hr  = ... train (by sitting) = (112 - 25) km/hr = 87 km/hr  Therefore the speed of goods train is 87 km/hr.

Sakthi running at 27 kmph alongside a railway track in 272 metres ahead of the engine of a 240 metres long train running at 135 kmph in the same direction. In how much time will the train pass sakthi? A) 24 B) 29 C) 36 D) 17

Description :  Sakthi running at 27 kmph alongside a railway track in 272 metres ahead of the engine of a 240 metres long train running at 135 kmph in the same direction. In how much time will the train pass sakthi? A) 24 B) 29 C) 36 D) 17

Last Answer : ANSWER:D  Explanation:  Speed of the train = 135 kmph  Speed of sakthi = 27 kmph  Speed of train relative to sakthi = (135-27) kmph  =108 kmph  We have to find the time in seconds, so convert ... of the train = Distance / Time  Therefore Time taken = ( 512 / 30) sec  = 17 sec

Two goods trains having equal lengths, take 30 seconds and 45 seconds respectively to cross a telegraph post. If the length of each train is 360 meters, in what time (in seconds) will they cross each other when traveling in opposite direction? A) 36 B) 12 C) 24 D) 48

Description :  Two goods trains having equal lengths, take 30 seconds and 45 seconds respectively to cross a telegraph post. If the length of each train is 360 meters, in what time (in seconds) will they cross each other when traveling in opposite direction? A) 36 B) 12 C) 24 D) 48

Last Answer : ANSWER:A  Explanation:  Speed of train = distance /time  = 360/30 m/s  = 12 m/s  Speed of train 2 = distance /time  = 360 /45 m/s  = 8 m/s  If 2 trains are moving in opposite ... +360 = 720 m  Time = distance/speed  = (720/20) = 36 Seconds Hence the required answer is 36 seconds

A train 330 m long passes a man, running at 18 km/hr in the direction opposite to that of the train in 18 seconds. The speed of the train is. A) 38 km/hr B) 29km/hr C) 48km/hr D) 44km/hr

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A train crosses a long bridge of length 12 km and a standing girl in 600 seconds and 24 seconds respectively. What will be the length of the train? A) 275 B) 480 C) 389 D)225

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Two passenger trains are running in the same direction on parallel tracks at 210km/hr and 150km/hr respectively. The faster train passes a man 81 sec faster than the slower train. Find the length of the faster train. A) 1250m B) 1150m C) 1350m D) 1450m

Description : Two passenger trains are running in the same direction on parallel tracks at 210km/hr and 150km/hr respectively. The faster train passes a man 81 sec faster than the slower train. Find the length of the faster train. A) 1250m B) 1150m C) 1350m D) 1450m

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A train 560 m long crosses the platform of length 340 m in 45seconds. Find the speed of the train in km/hr A) 72km/hr B) 36km/hr C) 48km/hr D) 15km/hr

Description : A train 560 m long crosses the platform of length 340 m in 45seconds. Find the speed of the train in km/hr A) 72km/hr B) 36km/hr C) 48km/hr D) 15km/hr 

Last Answer : ANSWER:A Explanation: Length of the train = 560 m Length of the platform = 340 m Therefore, length of the train + length of the platform = 560 m + 340 m = 900 m Time taken by the train to cross the ... to km/hr, multiply by 18/5 Therefore, speed of the train = 20 18/5 km/hr = 72 km/hr

A 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? A.180 B.230 C.245 D.235 E.None of these

Description : A 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? A.180 B.230 C.245 D.235 E.None of these

Last Answer : Answer – B (230) Explanation – Relative speed = total lenghths /time [120 +80] x5/18 ={ 270 + other train length (say L) } / 9 sec (x5/18 to convert km/hr to m/sec ) 200 x (5/18) x9 = 270 + L 500 = 270 +L L=230 m Note: always do cutting ,avoid solving exact

A 240m train crosses a standing object in 6 seconds. Find the time taken by the train to cross a long pole of length 162.5 m. A) 25 B) 45 C) 10 D) 15

Description : A 240m train crosses a standing object in 6 seconds. Find the time taken by the train to cross a long pole of length 162.5 m. A) 25 B) 45 C) 10 D) 15

Last Answer : ANSWER:C Explanation: Length of the train = 240 m Time taken to cross an object = 6 seconds Speed of the train = Length of the train / Time taken to cross an object  = 240/6 m/s  = 40 m/s  Length of ...  = (240 + 162.5)/40  = 402.5/40  = 10.06 seconds  Hence the answer is 10 seconds. 

A Superfast train overtakes two persons walking along a railway track. The first one walks at 9 km/hr. The other one walks at 10.8 km/hr. The train needs 16.8and 17seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train? A) 250 kmph B) 487kmph C) 162kmph D) 312kmph

Description : A Superfast train overtakes two persons walking along a railway track. The first one walks at 9 km/hr. The other one walks at 10.8 km/hr. The train needs 16.8and 17seconds respectively to overtake them. ... are walking in the same direction as the train? A) 250 kmph B) 487kmph C) 162kmph D) 312kmph

Last Answer : ANSWER:C Explanation:  Given that the first one walks at 9 km/hr convert the speed in the unit of m/sec  9 km/hr = (9*5/18) m/s  = 5/2 m/s  = 2.5 m/s  Another one walks at 10.8 km/hr ... the speed in the unit of km/hr  Speed of the train = (45*18/5)kmph  Speed of the train = 162 km/ hr

A person runs opposite to that of chandigarh train at a speed of 10km/hr. If the relative speed between train and the boy running in opposite direction is 25km/hr. What is the length of the train, if it takes 10 seconds to cross a boy, when is at rest? A) 36.6 m B) 40.6 m C) 43.6m D) 41.6m

Description :  A person runs opposite to that of chandigarh train at a speed of 10km/hr. If the relative speed between train and the boy running in opposite direction is 25km/hr. What is the length of the train, if it takes 10 seconds to cross a boy, when is at rest? A) 36.6 m B) 40.6 m C) 43.6m D) 41.6m

Last Answer : ANSWER : D  Explanation: Speed of person = 10km/hr  As the train and the running person are moving in opposite direction,therir speed values are added to find the relative speed.  Relative speed = speed of train + speed of ... s  Distance = speed * time = 25 / 6 * 10 = 250/6 m/s = 41.6 m

A passenger train 165 m long which is running at a speed of 30km/hr. In what time will it pass a man who is running at a speed of 3 km/hr in the opposite direction. In which the train is moving. A)14 sec B) 17sec C)16sec D)18sec

Description : A passenger train 165 m long which is running at a speed of 30km/hr. In what time will it pass a man who is running at a speed of 3 km/hr in the opposite direction. In which the train is moving. A)14 sec B) 17sec C)16sec D)18sec

Last Answer : ANSWER: D Explanation:  Speed of the train = 30 km/hr  Speed of man = 3 km/hr  Length of the train = 165m If direction is given in opposite direction then we add both speed.  That is (30 + 3 )= 33 km/hr ... can easily get the distance of m/s  So it cover 165 m  i.e., 165 * 6 /55 = 18 sec.

A train overtakes two girls walking along a railway track. The first girl walks at 9 km/hr. The other girl walks at 10.8 km/hr. The train needs 16.8 and 17 seconds respectively to overtake them. What is the speed of the train if both the girls are walking in the same direction as the train? A) 25 m/s B) 45 m/s C) 30m/s D) 40m/s

Description :  A train overtakes two girls walking along a railway track. The first girl walks at 9 km/hr. The other girl walks at 10.8 km/hr. The train needs 16.8 and 17 seconds respectively to overtake them. What is the speed of the ... in the same direction as the train? A) 25 m/s B) 45 m/s C) 30m/s D) 40m/s

Last Answer : ANSWER:B Explanation:  First girl speed = 9km/hr  = 9 * 5 / 18 m/s  = 5/2 m/s  = 2.5 m/s  second girl speed = 10.8 km/hr  = 10.8 * 5/18 m/s  = 54/18  = 3 m/s  Let the speed of the train ... x - 3) * 17  16.8x - 42 = 17x - 51  0.2x = 9  x = 45  Therefore the speed of the train is 45 m/s

A goodstrain of 700 m runs at a speed of 165 km/hr. A person traveling in it observes that the mail train moving in opposite direction takes 30 seconds to cross him. Find the speed of the mail train, if it is 750 m long. A) 8.4 m/s B) 5.3 m/s C) 2.5 m/s D) 6.8 m/s

Description : A goodstrain of 700 m runs at a speed of 165 km/hr. A person traveling in it observes that the mail train moving in opposite direction takes 30 seconds to cross him. Find the speed of the mail train, if it is 750 m long. A) 8.4 m/s B) 5.3 m/s C) 2.5 m/s D) 6.8 m/s

Last Answer : ANSWER:C Explanation:  Speed of goods train = 165km/hr  length of mail train (P) = 750m  length of goods train (Q) = 700m  Alternately, we can directly use the formula:  Time = ( p+q) / (v1+v2) sec  ( ...  45.833+v2 = 48.333  V2 = 2.5 m/s  Therefore the speed of the mail train is 2.5 m/s

A passenger train 300m long is running with a speed of 136 km/hr. In what time will it pass a boy who is running at 6 km/hr in opposite direction in which the train is moving? A) 8.6sec B) 7.6sec C) 3.6sec D) 2.6sec

Description : A passenger train 300m long is running with a speed of 136 km/hr. In what time will it pass a boy who is running at 6 km/hr in opposite direction in which the train is moving? A) 8.6sec B) 7.6sec C) 3.6sec D) 2.6sec

Last Answer : ANSWER: B Explanation:  Speed of the train = 136 km/hr  Speed of boy = 6 km/hr  Speed of the train relative to boy = (13 + 6)km/hr  = 142 km/hr Convert km/hr into m/s 142 km /hr = (142 * 5 / 18 ... taken bt it to cover 300 m at 39.44 m/s =300 / 39.44 [speed time= distance / speed] = 7.6 sec

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is :

Description : A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is : a) 72 metres b) 54 metres c) 55 metres d) 45 metres e) 50 meters

Last Answer : Answer: e)

The rajdhani express of 400m runs at a speed of 124 km/hr and a person runs on the platform at a speed of 40km/hr in the direction opposite to that of the train. Find the time taken by the train to cross the running person? A) 7 sec B) 8.78sec C) 7.78sec D) 8 sec

Description : The rajdhani express of 400m runs at a speed of 124 km/hr and a person runs on the platform at a speed of 40km/hr in the direction opposite to that of the train. Find the time taken by the train to cross the running person? A) 7 sec B) 8.78sec C) 7.78sec D) 8 sec

Last Answer : ANSWER : B Explanation:  Length of the train = 400m  Speed of train = 124 km/hr  Speed of person = 40 km/hr  Relative speed (speed of trai relative to man) = (124 + 40) km/hr  = 164 km/hr [As the ... train to cover 400m at a relative of 45.55 m/s  = 400 / 45.55  = 8.78 sec.

Length of train is 510 meters and speed of train is 63 km/hour. This train can pass a pole in 90 seconds, then find the length of the pole? A) 575mts B) 2500mts C) 1065mts D) 876mts

Description : Length of train is 510 meters and speed of train is 63 km/hour. This train can pass a pole in 90 seconds, then find the length of the pole? A) 575mts B) 2500mts C) 1065mts D) 876mts

Last Answer : ANSWER: C Explanation: Given speed of the train = 63 km/hr = 63*5/18 m/s =17.5m/s Let the length of the pole = x mts Given time taken to cover the distance of (510+ x)mts is 90 sec. We know speed = ... m/s 17. 5 = 510+x/90 1575 = 510+x x = 1065 Therefore the length of the pole is 1065 mts

Two trains 300 metres and 360 metres long are running in the same direction with speeds of 216 kmph and 162 kmph .In how much time will the first train cross the second? A) 54sec B) 44sec C) 40sec D) 14sec

Description : Two trains 300 metres and 360 metres long are running in the same direction with speeds of 216 kmph and 162 kmph .In how much time will the first train cross the second? A) 54sec B) 44sec C) 40sec D) 14sec 

Last Answer : ANSWE: B Explanation:  Length of the 1st train=300m  Length of the 2nd train=360m  Speed of the first train=216kmph  Speed of the second train=162kmph  Relative speed =(216-162)kmph  =54kmph. ...  =(660/15) sec  =44 sec  Therefore the first train cross the second at 44 sec.

It takes 60 sec for a train running at 162 km/hr to cross a bridge. And it takes 36 sec for the same speed to cross a boy walking at the rate of 18km/hr in the same direction in which the train is running. What is the length of the train and length of the platform. A) 1440 &1260m B) 1220 &60m C) 1000 & 1460m D) 1260 &1450m

Description : It takes 60 sec for a train running at 162 km/hr to cross a bridge. And it takes 36 sec for the same speed to cross a boy walking at the rate of 18km/hr in the same direction in which the train is ... the train and length of the platform. A) 1440 &1260m B) 1220 &60m C) 1000 & 1460m D) 1260 &1450m

Last Answer : ANSWER: A  Explanation:  Relative speed of the train to man = (162 - 18)  = 144km/hr  Convert km/hr into m/s  144km/hr = (144 * 5 /18) m/s  = 40 m/s  When the train passes ... of bridge = 2700  length of bridge = 1260 m  the length of the bridge & train are 1260 and 1440m

Nishu is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the speed of the train? A.35 kmph B.54 kmph C.62 kmph D.70 kmph E.None of these

Description : Nishu is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the speed of the train? A.35 kmph B.54 kmph C.62 kmph D.70 kmph E.None of these

Last Answer : Answer - B (54 kmph) Explanation - Let the length of the train be x metres. Then, the train covers x metres in 8 seconds (train is actually covering itself because length of man is very less compartable to train)and (x + ... /8]m/sec (convert to km/hr i.e x 18/5) =[120/8] x 18/5kmph = 54 kmph.

A girl is walking at a speed of 15 km/hr along a railway track. If she is 600 m ahead of the train which is 300 m long and runs at a speed of 180 km/hr in same direction, then what is the time required to pass a girl? A) 19.63sec B) 32sec C) 8.2sec D) 28.3sec

Description : A girl is walking at a speed of 15 km/hr along a railway track. If she is 600 m ahead of the train which is 300 m long and runs at a speed of 180 km/hr in same direction, then what is the time required to pass a girl? A) 19.63sec B) 32sec C) 8.2sec D) 28.3sec

Last Answer : ANSWER:A Explanation:  Speed of a girl = 15 km/hr  speed of train = 180 km/hr By using the condition, The speed values of train and the moving object are subtracted if they are moving in same ... /45.83 = 19.63  Hence the time taken by the train to cross the girl is 19.63seconds

Two train travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. Then length of the faster train is: A.120 m B.140 m C.160 m D.180 m E.None of these

Description : Two train travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. Then length of the faster train is: A.120 m B.140 m C.160 m D.180 m E.None of these

Last Answer : Answer – D (180 m) Explanation – When OPP. direction-PLUS Relative speed = (36 + 45) km/hr = [81 x 5/18] m/sec = [45/2] m/sec. Length of train = [45/2 x 8] m = 180 m.

A train 200m in length, travels at 120 km/hr. In what time it will pass a boy who is walking at 12km an hour. a) against(opposite) it: b) in the same direction? A) 5.4,6.66 B) 7.2,5.2 C) 3.5,6 D) 12,16

Description : A train 200m in length, travels at 120 km/hr. In what time it will pass a boy who is walking at 12km an hour. a) against(opposite) it: b) in the same direction? A) 5.4,6.66 B) 7.2,5.2 C) 3.5,6 D) 12,16

Last Answer : ANSWER: A  Explanation: I) Speed of the train = 120 km/hr  Speed of the boy = 12 km/hr  Relative speed = (120 + 12) km/hr  Convert km/hr into m/s  132 km/hr = (132 * 5/ 18)m/s  = 36.66 m/s  Time = ... km/hr = (108 * 5 / 18)m/s  = 30 sec  Time = distance / speed  = 200 / 30  = 6.66 sec

A mail train 220 m long is running with a sped of 120 km/hr. What is the time in which it will pass a man who starts from the engine running at the speed of 12km/hr in the direction opposite to that of the train. A) 6sec B) 5sec C) 4sec D) 3sec

Description : A mail train 220 m long is running with a sped of 120 km/hr. What is the time in which it will pass a man who starts from the engine running at the speed of 12km/hr in the direction opposite to that of the train. A) 6sec B) 5sec C) 4sec D) 3sec

Last Answer : ANSWER: A Explanation: We know as the train and the running person are moving in opposite direction,therir speed values are added to find the relative speed. Relative speed = speed of mail train + speed of running ... [ from the length of the mail train is the distance] = 220 / 36.66 = 6 sec.

Find the time taken by mailtrain 200m long running at a speed of 120 km/hr to cross another train of length 160m running at a speed of 96km/hr in the same direction. A) 34sec B) 52sec C) 45sec D) 54sec

Description : Find the time taken by mailtrain 200m long running at a speed of 120 km/hr to cross another train of length 160m running at a speed of 96km/hr in the same direction. A) 34sec B) 52sec C) 45sec D) 54sec

Last Answer : ANSWER: D  Explanation:  Total distance covered to cross each other = 200 + 160  = 360m  If the direction is given in the same direction then we subtract  Relative speed of two trains (same direction) = ... * 3 / 20  = 54sec  Time taken by the faster train to cross the slower train is 54sec.

Two trains, both 50m long, moving in opposite directions cross each other in 4 seconds. If one is moving thrice as fast the other, then the speed of the faster train is. A) 45km/hr B) 19 km/hr C) 95 km/hr D) 67.5 km/hr

Description : Two trains, both 50m long, moving in opposite directions cross each other in 4 seconds. If one is moving thrice as fast the other, then the speed of the faster train is. A) 45km/hr B) 19 km/hr C) 95 km/hr D) 67.5 km/hr

Last Answer : ANSWER:D Explanation:  Let the speed of the slower train be x' m/sec  The speed of the sfaster train = 3x m/s  Relative speed = (x +3x)m/sec  = 4x m/sec  50 + 50 / 4 = 4x  100 / 4 = 4x  100 = 16x  x = 100 ... the faster train = 3 * 25 / 4  = 75 / 4 m/s = (75/4 *18 /5)km/hr  = 67.5 km/hr

A metro train 200 metres long takes 12 seconds to cross a man walking at 10 km/hr in a opposite to that of the train. Find the speed of the train? A) 50 km/hr B) 60km/hr C) 130km/hr D) 140km/hr

Description : A metro train 200 metres long takes 12 seconds to cross a man walking at 10 km/hr in a opposite to that of the train. Find the speed of the train? A) 50 km/hr B) 60km/hr C) 130km/hr D) 140km/hr

Last Answer : ANSWER: A Explanation:  Length of the train = 200 m  Man walking speed = 10 km/hr  Let the speed of the train be x' km/hr  Speed of the train relative to man = (x +10) km/hr  Convert km/hr into m/s   ... = 60(x +10)  3600 = 60x +600  60x = 3000 X = 50  So speed of the train is 110km/hr.

A train M speeding with 60km/hr crooses another train N, running in the same direction in 1 min. If the lengths of the trains M and N be 50m and 100m respectively. What is the speed of train N? A) 15 km/hr B) 61km/hr C) 51km/hr D) 50k/hr

Description : A train M speeding with 60km/hr crooses another train N, running in the same direction in 1 min. If the lengths of the trains M and N be 50m and 100m respectively. What is the speed of train N? A) 15 km/hr B) 61km/hr C) 51km/hr D) 50k/hr

Last Answer : ANSWER: C Explanation:  Let the speed of be train N be ‘x’km/hr  Speed of M relative to N = (60 – x)km/hr  = (60-x) * 5/18]m/s = (300 – 5x / 18)m/s  150 / (300 – 5x / 18) =60  2700/300-5x=60  2700=18000-300x 300x=15300  x= 153/3  x=51km/hr  Therefore the speed of the train is 51 km/hr

A shatabadi express takes 240 seconds to cover a distance of length 700 meters at a speed of 270 km/hr. What will be the time taken by the train to cross a standing pole? A) 160sec B) 465sec C) 310sec D) 231sec

Description : A shatabadi express takes 240 seconds to cover a distance of length 700 meters at a speed of 270 km/hr. What will be the time taken by the train to cross a standing pole? A) 160sec B) 465sec C) 310sec D) 231sec

Last Answer : ANSWER:D Explanation:  Speed of the train = 270 km/hr. Converting the speed into m/sec  Speed = 270 km/hr = 270 x 5/18 m/sec = 75 m/sec  First, we have to find the length of the train  Let ... a standing Pole at 75 m/s =( 17300/75)seconds = 231 seconds. Hence the answer is 231 sec(approx.)

A and B are 2 trains running in opposite direction cross a man standing on the platform in 54sec and 34 sec respectively and they cross each other in 46sec. The ratio of their speed is. A) 1:3 B) 3:2 C) 2:3 D) 2:2

Description : A and B are 2 trains running in opposite direction cross a man standing on the platform in 54sec and 34 sec respectively and they cross each other in 46sec. The ratio of their speed is. A) 1:3 B) 3:2 C) 2:3 D) 2:2

Last Answer : ANSWER:B Explanation:  Let the speed of the 1st train be x' m/sec and  the speed of the 2nd train be y' m/sec  then the length of the 1st train = 54 x metres  length of the 2nd train = 34 y metres  54x + 34y / x+ y ...  54x - 46x = 46y - 34y  8x = 12y  x/y = 12 / 8 = 6/4 = 3/2  x:y = 3:2

A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is: A.35 km/hr B.50 km/hr C.48 km/hr D.55 km/hr E.None of these

Description : A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is: A.35 km/hr B.50 km/hr C.48 km/hr D.55 km/hr E.None of these

Last Answer : Answer – B (50 km/hr) Explanation – Let speed be S Relative speed = total lengths/time [ in this case man length is neglible compare to train so neglected] (S – 5) x 5/18 = 125 /10 S- 5 = (125/10)x(18/5) S-5 = 45 S=50 km/hr

A and B are two trains 150m and 100m long are running on parallel rails at the rate of 30 kmph and 40 kmph respectively.In how much time will they cross each other if they are running in the same direction. A) 80 sec B) 90sec C) 105sec D) 45sec

Description : A and B are two trains 150m and 100m long are running on parallel rails at the rate of 30 kmph and 40 kmph respectively.In how much time will they cross each other if they are running in the same direction. A) 80 sec B) 90sec C) 105sec D) 45sec

Last Answer : ANSWER: B Explanation:  Length of first train=150m  Length of second train=100m  Speed of first train =30kmph  Speed of second train =40kmph  If the direction is given in the same direction then we subtract ... +100)m  =250m  Time = distance/speed  Time taken =(250*9/25)sec  =90 sec.

A goods train 110m long is running with the speed of 30 km/hr. in what time will it pass a boy who is running at 3.5 km/hr in the direction opposite to that in which the train is going. A) 9 sec B) 10sec C) 12sec D) 13sec

Description : A goods train 110m long is running with the speed of 30 km/hr. in what time will it pass a boy who is running at 3.5 km/hr in the direction opposite to that in which the train is going. A) 9 sec B) 10sec C) 12sec D) 13sec

Last Answer : ANSWER : C Explanation:  Length of the train = 110 m  Speed of the train = 30 km/hr  Speed of the boy = 3.5 km/hr  Speed of the train relative to man = (30 + 3.5) km/hr  = 33.5 km/hr  Convert km/ ... cover 110 m at 9.30 m/s  = 110 / 9.30  = 11.8 seconds  = 12 sec(approx.).

A train 135m long is moving at a speed of 12.5 km/h. It will cross a girl coming from the opposite direction at a speed of 1km/hr in. A) 36sec B) 46sec C) 56sec D) 66sec

Description : A train 135m long is moving at a speed of 12.5 km/h. It will cross a girl coming from the opposite direction at a speed of 1km/hr in. A) 36sec B) 46sec C) 56sec D) 66sec

Last Answer : ANSWER : A Explanation:  Speed of the train = 12.5 km/hr  Speed of girl = 1 km/hr Relative speed = speed of train + speed of girl = (12.5 + 1) km/hr = 13.5 km/hr Convert km/hr into m/s 13.5 ... .75 m/s Time = distance / speed Time taken by the train to pass the man = 135 / 3.75  = 36 sec.

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? A.27 7/9 m B.28 m C.29 m D.30 2/7 m E.None of these

Description : Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? A.27 7/9 m B.28 m C.29 m D.30 2/7 m E.None of these 

Last Answer : Answer – A (27 7/9 m) Explanation – When SAME direction- MINUS Relative speed = (40-20) km/hr = [20 x 5/18] m/sec = [50/9] m/sec. Length of faster train = sxt=[50/9 x 5] m = 250/9 m = 27 7/9 m.

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? A.310 m B.350 m C.600 m D.490 m E.None of these

Description : A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? A.310 m B.350 m C.600 m D.490 m E.None of these

Last Answer : Answer - B (350 m) Explanation - when it cross a pole actually it is crossing itself so, S = 300/18 let length of platform be p relative speed = total lengths/time speed of ... pole,man and other is of considerable length like platform ,bridge. when train crosses pole,man it crosses itself

A 250 m goods train takes 50 s to cross a person who is going in the same direction with the speed of 8 km/h. After crossing that person, the train can reach next station in 2 hr. How long that person takes to reach that station after being crossed by them? A) 2 ½ hr B) 5hr C) 3 1/2hr D) 1hr

Description : A 250 m goods train takes 50 s to cross a person who is going in the same direction with the speed of 8 km/h. After crossing that person, the train can reach next station in 2 hr. How long that person takes to reach that station after being crossed by them? A) 2 ½ hr B) 5hr C) 3 1/2hr D) 1hr

Last Answer : ANSWER:A Explanation:  Speed of the person = 8 kmph  = (8*5/18)m/s  = 20/9 m/s  Then relative speed of train = (x-20/9)m/s  As train takes 50 sec to cross the person  Therefore 50 =250/(x-20/ ... 20,000 m  = 20 km Thus time taken by the person to cover the distance of 20km= 20/8 hr=2 ½ hr

The distance between two stations ooty and chennai is 615km. A train with speed of 75 km/h leaves ooty at 8:00 am towards chennai. Another train with speed of 105 km/h leaves Chennai at 9 : 00 am towards ooty . Then, at what time both trains meet? A) 6 B) 12 C) 18 D) 24

Description : The distance between two stations ooty and chennai is 615km. A train with speed of 75 km/h leaves ooty at 8:00 am towards chennai. Another train with speed of 105 km/h leaves Chennai at 9 : 00 am towards ooty . Then, at what time both trains meet? A) 6 B) 12 C) 18 D) 24

Last Answer : ANSWER:B  Explanation:  First train leaves at 8.00am and second leaves at 9.00am  So,first train that is , from ooty to Chennai has covered  75 km distance in 1 hr.  So , distance left by between the station = ... the trains will meet , 3 hr after second train left  i.e., 9.00 am +3 = 12.00 pm

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is: A.12 kmph B.24 kmph C.36 kmph D.48 kmph E.None of these

Description : Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is: A.12 kmph B.24 kmph C.36 kmph D.48 kmph E.None of these

Last Answer : Answer – C (36 kmph) Explanation – Let the speed of each train be x m/sec. Then, relative speed of the two trains = 2x m/sec. So, 2x = (120 + 120)/12 ⇔ 2x = 20 ⇔ x = 10. ∴ Speed of each train = 10 m/sec = [10 x 18/5] km/hr = 36 km/hr

A train, 1800 meters long running at the rate of 204 km/hr will cross a platform in: A) 16 B) 32 C) 45 D) 64

Description : A train, 1800 meters long running at the rate of 204 km/hr will cross a platform in: A) 16 B) 32 C) 45 D) 64 

Last Answer : ANSWER: B  Explanation: Speed of the train = 204 km/hr. We have to find the time in seconds, so convert the speed in the unit of m/sec. Therefore 204 km/hr = 204 x 5/18 m/s  = 1020/18 m/s  Length ... m/sec  Time = distance/speed  = 1800/(1020/18)sec  = (1800*18/1020)sec  = 32 sec (approx.)

X and y are two trains of length 500m and 400m run on parallel lines. When they run in the same direction it will take 60 sec to cross each other. When they run in opposite direction, it will take 20 sec to cross each other. Find the speed of 2 trains (in km/hr) A) 116 and 42 km/hr B) 54 and 78km/hr C) 104 and 60km/hr D) 108 and 54km/hr

Description : X and y are two trains of length 500m and 400m run on parallel lines. When they run in the same direction it will take 60 sec to cross each other. When they run in opposite direction, it will take 20 sec to cross each ... ) A) 116 and 42 km/hr B) 54 and 78km/hr C) 104 and 60km/hr D) 108 and 54km/hr

Last Answer :  ANSWER : D Explanation:  Let the speed of 2 trains be a1 and a2  Total distance covered to cross each other = (500 + 400)m  = 900m  When they run in the same direction,  Relative speed = a1 - a2  = 900 /60 ... hr  a 2= (15 * 18 / 5)m/s  = 54km/hr  Speed of two trains are 108 and 54 km/hr

If a Rajdhani train running at the speed of 25 m/s and covers 0.8 km long chunk in 6 minutes, then the length of the train is: A) 8.2 B) 6.7 C) 7.5 D) 9.3

Description : If a Rajdhani train running at the speed of 25 m/s and covers 0.8 km long chunk in 6 minutes, then the length of the train is: A) 8.2 B) 6.7 C) 7.5 D) 9.3

Last Answer : ANSWER:A Explanation:  Speed of the train = 25 m/s.  Length of the chunk = 0.8 km  = 800 meters Time taken to cross the chunk = 6 minutes  = (6*60) seconds  = 360 seconds  Let the length of the train be y ... +y = 9000  y = 8200 m  i.e., y = 8.2 km  Hence the length of the train is 8.2 km