Multiple choice

A train measuring 450 m in length is running at a speed of 90 km/h. How much time (in seconds) will it take to completely cross an individual sitting inside another train that is 350 m long, which is running at 54 km/h in the opposite direction?

  1. 11.25 seconds

  2. 15 seconds

  3. 18 seconds

  4. 22.5 seconds

  5. None
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A Correct answer
Explanation

Relative speed = 90 + 54 = 144 km/h = 144 * (5/18) = 40 m/s. The train needs to cover its own length to pass the person. Time = 450 / 40 = 11.25 seconds.

AI explanation

Since the trains move in opposite directions, add their speeds of 90 km/h and 54 km/h to get a relative speed of 144 km/h. Convert this to m/s using the 5/18 factor to get 40 m/s. The total distance to be covered is just the length of the moving train, which is 450 m, so dividing 450 by 40 gives the time of 11.25 seconds.

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