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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?

  • A.120 m
  • B.240 m
  • C.300 m
  • D.None of these

Answer: B

\[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \]

\[ 54 \text{ km/hr} = 15 \text{ m/s} \]

The man is a point, so that crossing gives the train's length:

\[ L = 15 \times 20 = 300 \text{ m} \]

The platform crossing covers train plus platform:

\[ 15 \times 36 = 540 \quad\Longrightarrow\quad P = 540 - 300 = 240 \text{ m} \]

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