Multiple choice

A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds. The length (in meters) of the train is

  1. 188

  2. 176

  3. 175

  4. 96
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When the train passes a man, it covers its own length in 8 seconds at speed v, so length L = 8v. When it crosses a 264m platform in 20 seconds, it covers L + 264 = 20v. Substituting L = 8v gives 8v + 264 = 20v, so 12v = 264 and v = 22 m/s. Therefore L = 8 x 22 = 176 meters.

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