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

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
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1 Answer

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 meters.

Time taken by the train to cover (800 + y) meters at 25 is 360 seconds

 i.e., distance = speed x time

 (800+y) = 25 x 360

 800+y = 9000

 y = 8200 m

 i.e., y = 8.2 km

 Hence the length of the train is 8.2 km
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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

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Let p and q be two trains 65m and 70m long are running on parallel tracks in the same direction with a speed of 34km/hr and 25 km/hr. how long will it take to clear off each other from the moment they met? A) 54sec B) 56sec C) 45sec D) None of these

Description :  Let p and q be two trains 65m and 70m long are running on parallel tracks in the same direction with a speed of 34km/hr and 25 km/hr. how long will it take to clear off each other from the moment they met? A) 54sec B) 56sec C) 45sec D) None of these

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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 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

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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.)

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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.

A train leaves Mumbai for chennai at 6 : 45 a.m. and goes at the rate of 100 km/h. Another train leaves Chennai for Mumbai at 4.30a.m. and goes at the rate of 120 km/h. If the distance between both is 1240 km, at what distance from Mumbai will the two trains meet? A) 210km B) 324km C) 115km D) 440km

Description : A train leaves Mumbai for chennai at 6 : 45 a.m. and goes at the rate of 100 km/h. Another train leaves Chennai for Mumbai at 4.30a.m. and goes at the rate of 120 km/h. If the distance between both is 1240 km, at what distance from Mumbai will the two trains meet? A) 210km B) 324km C) 115km D) 440km

Last Answer : ANSWER: D  Explanation:  Given speed of the first train = 100kmph  speed of the second train = 120kmph  The second train leaving Chennai starts its journey earlier and it travels = 120 *(6.45a.m. ... train covers 4.40 *100 = 440 km  Therefore the first train meet to the second train at 440km

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.

Two mail trains Pand Q of 300 m and 600m, run at speed of 130 km/hr and 160 km/hr respectively, in the direction opposite direction to each other. Find the time required to cross each other after the moment they met? A) 11.17 sec B) 12sec C) 9.10sec D) 21sec

Description : Two mail trains Pand Q of 300 m and 600m, run at speed of 130 km/hr and 160 km/hr respectively, in the direction opposite direction to each other. Find the time required to cross each other after the moment they met? A) 11.17 sec B) 12sec C) 9.10sec D) 21sec

Last Answer :  ANSWER:A Explanation:  Length of train P = 300 m  Length of train Q = 600 m  Speed of train p = 130 kmph  Convert km/hr into m/s,  Speed of train p =(130 *5/18)m/s  = 650/18 m/s  = 36.11 m/ ... train B)  = (300+600)m = 900 m We know, time =distance /speed  = 900/ 80.55  = 11.17seconds

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 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

Two trains A and B are moving in opposite directions at 180 km/hr and 270 km/hr. their lengths are 3.30 km and 2.7 km respectively. The time taken by the slower train to cross the faster train in second is. A) 48sec B) 13 sec C) 38sec D) 24sec

Description : Two trains A and B are moving in opposite directions at 180 km/hr and 270 km/hr. their lengths are 3.30 km and 2.7 km respectively. The time taken by the slower train to cross the faster train in second is. A) 48sec B) 13 sec C) 38sec D) 24sec

Last Answer : ANSWER: A Explanation: Speed of 1st train = 180 km/hr  Speed of 2nd train = 270 km/hr  Relative speed = (180 + 270)km/hr  = 450 km/hr  = (450 * 5 / 180)m/s  = (2250 / 18)m/s  =125 m/s  Distance covered = (3.30 + 2.70)km  = 6km = 6000m  Required time = 6000 / 125  = 48sec

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

Last Answer : ANSWER: C  Explanation:  Speed of 1st train = 210km/hr  Speed of 2nd train = 150km/hr  Here the two passenger trains are running in same direction, so  Relative speed = (210 - 150)km/hr  = 60km ... faster train = relative speed * time taken by train to pass  = 50/3 * 81  = 1350m

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

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

Description : 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

Last 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 ...  (800+y) = 90*480/18  y = 2400- 800  = 1600  Hence, the length of the platform is 1600 m

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.

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

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 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 p starts from delhi at 8pm and reaches kanyakumari at 10pm. While another train q starts from kanyakumari at 8pm and reaches delhi at 11pm. The two trains will cross each other at. A) 9.24pm B) 9.10pm C) 9.02pm D) 9.12pm

Description : A train p starts from delhi at 8pm and reaches kanyakumari at 10pm. While another train q starts from kanyakumari at 8pm and reaches delhi at 11pm. The two trains will cross each other at. A) 9.24pm B) 9.10pm C) 9.02pm D) 9.12pm

Last Answer : ANSWER: D Explanation:  Suppose the distance between delhi and kanyakumari is x km  The time taken by p to cover x km = 2hrs  The time taken by q to cover x km = 3hrs  Therefore speed of p = distance / time  = x ... = 1/y  5y = 6  y = (6/5 * 60)min= 72min  So the two trains meet at 9.12pm

The Mumbai express 500m long passes a man running at 20km/hr in the same direction in which the express is going in 40sec. The speed of the express is. A) 50km/hr B) 45km/hr C) 25km/hr D) 65km/hr

Description : The Mumbai express 500m long passes a man running at 20km/hr in the same direction in which the express is going in 40sec. The speed of the express is. A) 50km/hr B) 45km/hr C) 25km/hr D) 65km/hr

Last Answer : ANSWER : D Explanation:  Length of the train = 500m  Speed of the expess relative to man = (500 / 40)m/s  = 25/2 m/s  Convert m/s into km/hr  25 / 2 m/s = 25 / 2 * 18 / 5 = 45 km/hr  Let the ... x -20)km/hr  Therefore x - 20 = 45  x = 45 + 20  = 65km/hr  Speed of the express = 65 km/hr.

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

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 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.