Multiple choice

A train 300 m long, overtake a man walking along the line (in the same direction of the train) at the speed of 5 kms per hour and passed him in 30 sec. The train reached the station in 15 minutes after it has passed the man. In what time did the man reach the station?

  1. 2 hrs. 6 min.

  2. 2 hrs. 5 min.

  3. 2 hrs. 3 min.

  4. 2 hrs. 4 min.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train speed relative to man = 300m / 30s = 10 m/s = 36 km/h. Since they move in the same direction, train speed = 36 + 5 = 41 km/h. Train takes 15 min to reach station after passing man. Distance = 41 * (15/60) = 10.25 km. Man's time = 10.25 km / 5 km/h = 2.05 hours = 2 hours 3 minutes.

AI explanation

The train is 300 meters long and passes the man in 30 seconds, so using the relative speed formula for objects moving in the same direction, the relative speed is 300 divided by 30, or 10 m/s. Converting this to kilometers per hour gives 10 multiplied by 18/5, equaling 36 km/hr, and since the man walks at 5 km/hr, the train's actual speed is 36 plus 5, or 41 km/hr. The train reaches the station 15 minutes after passing the man, so the distance from the passing point to the station is 41 multiplied by 15/60, which is 10.25 km. The man reaches the station in 10.25 divided by 5 hours, which is 2.05 hours, equaling 2 hours and 3 minutes.

Keep practicing — related questions