Multiple choice

A train running at the rate of 40 km/h passes a man, riding parallel to the railway line in the same direction, at 25 km/h in 48 seconds. Find the length of the train in metres.

  1. 100 m

  2. 200 m

  3. 150 m

  4. 250 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The relative speed of the train with respect to the man is 40 - 25 = 15 km/h. Converting 15 km/h to m/s gives 15 * (5/18) = 25/6 m/s. The length of the train is speed * time = (25/6) * 48 = 200 meters.

AI explanation

Using the relative speed formula for objects moving in the same direction, the relative speed is 40 km/h minus 25 km/h, which equals 15 km/h. Converting this to meters per second gives 15 multiplied by 5/18, resulting in 25/6 m/s. The length of the train is the relative speed multiplied by the crossing time, which is (25/6) multiplied by 48, yielding a length of 200 m.

Keep practicing — related questions