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A train passes a station platform in 57 seconds and a man standing on the platform in 41 seconds. If the speed of the train is 29 m/s, what is the length of the platform? (meter)

A train passes a station platform in 57 seconds and a man standing on the platform in 41 seconds. If the speed of the train is 29 m/s, what is the length of the platform? (meter) Correct Answer 464

Given:

The speed of the train = 29 m/s

Time to pass the station platform = 57 seconds

Time to pass the man = 41 seconds

Formula used:

Speed of the train = Length of train/Time taken to pass a man

Speed of the train = Length of (train + platform)/Time to pass a station platform

Calculation:

Speed of the train = Length of train/Time taken to pass a man

⇒ 29 = Length of train/41

⇒ Length of train = 29 × 41 = 1189 m

Speed of the train = Length of (train + platform)/Time to pass a station platform

⇒ 29 = (1189 + Length of platform)/57

⇒ 1189 + Length of platform = 29 × 57

⇒ 1189 + Length of platform = 1653

⇒ Length of platform = 1653 - 1189 = 464 m

∴ The length of the platform (meter) = 464 m

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