Multiple choice

In how many seconds will a train 160 metres long, running at 52 km/h, cross a man walking at 4 km/h in the same direction?

  1. 12 s

  2. 10 s

  3. 5 s

  4. 7 s

  5. None of these
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A Correct answer
Explanation

The relative speed of the train with respect to the man is 52 - 4 = 48 km/h. Convert this to m/s: 48 * (5/18) = 40/3 m/s. Time = distance / speed = 160 / (40/3) = 160 * 3 / 40 = 12 seconds.

AI explanation

When a train crosses a man walking in the same direction, the relative speed is the difference between their speeds, which is 52 km/h minus 4 km/h, equaling 48 km/h. Converting this relative speed to metres per second gives 48 multiplied by 5 over 18, resulting in 40 over 3 metres per second. The time taken to cross the man is the length of the train divided by this relative speed, yielding 160 divided by 40 over 3, which equals 12 seconds.

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