Discussion of Question with ID = 060 under Problems-on-Trains

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Question

A train is moving at a speed of 70m/s. It takes 2 seconds to cross a jeep that is travelling in the opposite direction at a speed of 31m/s. What is the length of the train?

A

202 meters.

B

203 meters.

C

201 meters.

D

204 meters.

Soln.
Ans: a

The distance to be covered is equal to the length of the train. This distance has to be covered at a net relative speed equal to the sums of the speeds of the jeep and the train, so v = 70 + 31 = 101. The length of the train will be time × speed = $2 × 101$ = 202meters.

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