A man drives from his house to the station. If he drives at the rate of 10 kms per hour, he reaches the station at 6 pm. if he drives at 15 kms per hour, he would reach the station at 4 pm. At what speed, in kms per hour, should he drives so as to reach the station at 5 pm?
a) 12
b) 12.33
c) 5√5
d) 12.5
e) 13

1 Answer

Answer :

Let ‘x’ be the distance between house and station.
Time taken to travel a distance of x at the speed of 10km/hr, T1 = x/10 hours
Time taken to travel a distance of x at the speed of 15km/hr, T2 = x/15 hours
we know that T1 – T2 = 2 hours
therefore, we get x = 60 km
also, we can conclude that starting time is 12 pm [60/15 = 4, since he reach station at 4
pm travelling at 15 km/hr]
hence, to reach the station at 5 pm, speed = 60/5 = 12 km/hr [12 pm – 5pm, time = 5
hours]
Answer: a)

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