Multiple choice

A person, standing at the platform of a railway station, is crossed by a train in 9 seconds. The same train crosses the 297 m long platform in 22.5 seconds. What is the length (in metres) of the train?

  1. 198 m

  2. 264 m

  3. 252 m

  4. 248 m

  5. 228 m
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let train length be L and speed be v. L/v = 9. (L+297)/v = 22.5. L/v + 297/v = 22.5. 9 + 297/v = 22.5. 297/v = 13.5. v = 297/13.5 = 22 m/s. L = 9 * 22 = 198 m.

AI explanation

Let the length of the train be L metres. Since the train's speed is constant, L divided by 9 equals (L plus 297) divided by 22.5. Cross-multiplying gives 22.5L equals 9L plus 2673; subtracting 9L from 22.5L yields 13.5L equals 2673. Dividing 2673 by 13.5 gives L equals 198 metres.

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