Multiple choice

The length of a train and that of a platform are equal. If with a speed of $90$ km/hr, the train crosses the platform in one minute, then the length of the train (in metre is :

  1. $500$ m
  2. $600$ m
  3. $750$ m
  4. $900$ m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 90 km/hr, the train travels 25 metres per second. In one minute, it covers 1500 metres, which equals the train length plus the platform length. Since these lengths are equal, the train length is 1500/2 = 750 metres.

AI explanation

Let the length of the train be L meters; since the platform is the same length, the total distance to cross it is 2L. The speed of 90 km/hr converts to 25 m/s by multiplying by 5/18. Since it takes 1 minute, or 60 seconds, to cross the platform, the equation is 2L = 25 multiplied by 60. Solving for L gives 1500 divided by 2, resulting in a train length of 750 m.

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