Multiple choice

A train $110\ m$ in length travels at $60$ per hour. In what time will it pass a man who is walking at $6\ km$ an hour i n the opposite direction

  1. $5\ seconds$
  2. $6\ seconds$
  3. $8\ seconds$
  4. $7\dfrac {1}{3}seconds$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Because the man walks in the opposite direction, the relative speed is 60 + 6 = 66 km/hr, or 55/3 m/s. The time to cover the train's 110 m length is 110 ÷ (55/3) = 6 seconds.

AI explanation

Since the train and the man are moving in opposite directions, we apply the relative speed formula by adding their speeds: 60 km/hr + 6 km/hr = 66 km/hr. Converting this to meters per second gives 66 * 5/18 = 55/3 m/s. The time taken to pass the man is the train's length divided by this relative speed, calculated as 110 / (55/3) = 110 * 3 / 55 = 6 seconds. The train passes the man in 6 seconds.

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