Multiple choice

A train of length 200 meters crosses a man running at 10 km/hr in the same direction in 10 seconds. What is the speed of the train?

  1. 92 km/hr

  2. 86 km/hr

  3. 43 km/hr

  4. 82 km/hr

  5. 38 km/hr
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D Correct answer
Explanation

Relative speed = distance / time = 200m / 10s = 20 m/s. Convert to km/hr: 20 * (18/5) = 72 km/hr. Since the man is running in the same direction at 10 km/hr, Train speed - 10 = 72, so Train speed = 82 km/hr.

AI explanation

Using the relative speed formula for the same direction, the relative speed equals the length of the train divided by the crossing time, which is 200 m divided by 10 seconds, yielding 20 m/s. Convert this relative speed back to km/hr by multiplying by 18/5, resulting in 72 km/hr. Since this is the difference between the train's speed and the man's speed, add the man's speed of 10 km/hr to get the train's speed of 82 km/hr.

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