Multiple choice

A train $280\ m$ long is moving at a speed of $60\ kmph$. What is the time taken by the train to cross a platform $220\ m$ long?

  1. $45\ s$
  2. $40\ s$
  3. $35\ s$
  4. $30\ s$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The total distance to cover is the sum of the train length and the platform length, which is 280 + 220 = 500 meters. The speed of 60 kmph is converted to m/s by multiplying by 5/18, resulting in 50/3 m/s. Time = Distance / Speed = 500 / (50/3) = 500 * 3 / 50 = 30 seconds.

AI explanation

The total distance to cross the platform is the train's length plus the platform's length, which is 280 m plus 220 m to equal 500 m. Converting the speed of 60 kmph to m/sec gives 60 multiplied by 5/18, which equals 50/3 m/sec. The time taken is distance divided by speed, so 500 divided by 50/3 equals 30 seconds.

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