Multiple choice

At the speed of 60 km per hour, a motorcyclist can catch the train (last bogie) running in the same direction in 3 hours and he passes the train completely in the next 15 minutes. If the length of train is 200 meters then how much distance did the train travel from the time when motorcyclist started chasing it and chased it (last bogie)?

  1. 177.8

  2. 177.6

  3. 160.8

  4. 160.6

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Motorcyclist speed = 60 km/h. In 3 hours, catches train's last bogie. In 15 minutes (0.25h), passes train completely. Train length = 200m = 0.2km. Relative speed = distance/time = 0.2/0.25 = 0.8 km/h. Train speed = 60 - 0.8 = 59.2 km/h. Distance train travels in 3h = 59.2 × 3 = 177.6 km. Answer B is correct.

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