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

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  1. 120 m
  2. 240 m
  3. 300 m
  4. 360 m

Answer (Detailed Solution Below)

Option 2 : 240 m
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Detailed Solution

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Given:

Speed of the train = 54 km/h

Time taken to pass the platform = 36 seconds

Time taken to pass a man = 20 seconds

Formula Used:

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

Length of the platform = Speed × Time taken to pass the platform - Length of the train

Calculation:

Speed in m/s = 54 × (1000 / 3600) = 15 m/s

Length of the train = 15 × 20 = 300 m

Length of the platform = 15 × 36 - 300

⇒ Length of the platform = 540 - 300

⇒ Length of the platform = 240 m

The correct answer is option 2.

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