Q.

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

A. 200 m
B. 240 m
C. 280 m
D. 320 m
Answer» B. 240 m
Explanation: The train's speed is 54 km/hr, which is 54*(5/18) m/sec = 15 m/sec.
The length of the train is Speed * Time = 15 m/sec * 20 sec = 300 m.
When the train crosses the platform, it travels the length of the train plus the length of the platform in 36 seconds. So, 300 m + length of platform = 15 m/sec * 36 sec.
Solving for the platform's length gives the platform's length = 540 m - 300 m = 240 m.
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