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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?

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1. 

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]. 120 m
[B]. 240 m
[C]. 300 m
[D]. None of these

Answer: Option B

Explanation:

Speed = 1-sym-oparen-h1 54 x 5 1-sym-cparen-h1m/sec = 15 m/sec.
18

Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be x metres.

Then, x + 300 = 15
36

 x + 300 = 540

 x = 240 m.

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