Multiple choice

A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?

  1. 55/3 seconds

  2. 12 seconds

  3. 18 seconds

  4. 66 seconds

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 59 + 7 = 66 kmph. Convert to m/s: 66 * (5/18) = 55/3 m/s. Time = Distance / Speed = 220 / (55/3) = 220 * (3/55) = 4 * 3 = 12 seconds.

AI explanation

Since the train and the man are moving in opposite directions, their relative speed is the sum of their speeds: 59 kmph plus 7 kmph, which equals 66 kmph. Convert this relative speed to meters per second by multiplying by 5/18, resulting in 55/3 meters per second. The time taken to pass the man is calculated by dividing the train's length by this relative speed: 220 divided by 55/3. This gives a time of 12 seconds.