Multiple choice

An express train $110\ m$ long is travelling at $60\ km/hr$. In what time will it overtake a man, travelling in the opposite direction to that of the express train at $6\ km/hr$?

  1. $9\sec$
  2. $8\sec$
  3. $7\sec$
  4. $6\sec$
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D Correct answer
Explanation

Relative speed = 60 + 6 = 66 km/hr. Convert to m/s: 66 * (5/18) = 55/3 m/s. Time = Distance / Speed = 110 / (55/3) = 110 * 3 / 55 = 6 seconds.

AI explanation

Because the man travels in the opposite direction, their relative speed is the sum of their speeds, which is 60 km/hr + 6 km/hr = 66 km/hr. Converting this to meters per second gives 66 multiplied by 5/18, equalling 55/3 m/s. The time to pass the man is the train's length divided by this relative speed, so 110 divided by 55/3 equals 6 seconds. The train will overtake the man in 6 sec.

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