Multiple choice

Two trains running in opposite directions at $36 kmph$ and $45 kmph$ cross each other in $20$ seconds. If one train is $200 m$ long, the length of the other train is :

  1. $144 m$
  2. $200 m$
  3. $240 m$
  4. $250 m$
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D Correct answer
Explanation

Relative speed = 36 + 45 = 81 km/hr = 81 * (5/18) = 22.5 m/sec. Total distance = Relative speed * time = 22.5 * 20 = 450 m. Length of other train = 450 - 200 = 250 m.

AI explanation

The relative speed of the two trains is 36 kmph plus 45 kmph, totaling 81 kmph, which converts to 22.5 meters per second using the 5/18 conversion factor. The total distance covered in 20 seconds is 22.5 multiplied by 20, giving 450 meters. Since the first train is 200 meters long, the second train's length is 450 minus 200, equaling 250 meters.

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