Discussion of Question with ID = 008 under Problems-on-Trains

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Question

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 32km/h is 10sec, whereas the time it takes to cross the other man running at 34km/h is 11sec. What is the speed of the train?

A

54 km/h.

B

55 km/h.

C

53 km/h.

D

56 km/h.

Soln.
Ans: a

Let the speed of the train be v km/h. Length of the train calculated with the data for the first man = $(v - 32) × 10$. It should equal the length obtained from the data for the second man. So $(v - 32) × 10$ = $(v - 34) × 11$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 54km/h.

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