GMAT Exam Category

A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively. If the speeds of the two cyclists are 9 and 18 kmph respectively. Find the length and speed of the train.
a)80 m b89 m c)98 m d)90 m

Read Solution (Total 1)

let the speed of train be s. Relative speed for first cycle =(s-9)
time=12 sec, so dist=speed*time
=(s-9)*12*(5/18)m/sec
Relative speed for second cycle =(s-18)
time=18 sec,so dist=speed*time
=(s-18)*18*(5/18)m/sec
on solving the two equations we get
s=36 km/hr and length of train =90 m
8 years agoHelpfull: Yes(1) No(1)

GMAT Other Question

Find the time taken by a train 150 m long running at a speed of 63 kmph to cross another train of length 100 m long running at a speed of 45 kmph in the same direction
a)25 seconds b)50 seconds c)75 seconds d)100 seconds
Two trains running at 45 and 54 kmph cross each other in 12 seconds when they run in opposite directions. When they run in the same direction, a person in the faster train observes that he crossed the other train in 32 seconds. Find the lengths of the two trains
a)250 b)450 c)260 d)234