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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

Solution:

\begin{aligned} Speed = 54 \times \frac{5}{18} m/sec = 15 m/sec \\ Length of the train = (15 \times 20) m = 300 m \\ Let the length of the platform be x metres \\ Then, \frac{x + 300}{36} = 15 \\ \Rightarrow x + 300 = 540 \\ \Rightarrow x = 240 m \end{aligned}

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