On parallel tracks, two trains of equal length are moving at speeds of 46 and 36 kilometres per hour in the same direction. In 36 seconds, the quicker train overtakes the slower one. The length of each train is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 50 metre.
Let the length of each train be x metre.
Distance = Speed × Time
When two trains are running in same direction, the relative speed of trains is equal to the difference between the individual speeds of the trains.
According to the given question,
Realtive speed = 46 - 36 = 10 km/h
Relative speed in m/sec = 10 × (5/18) = 25/9 m/sec
Total distance = 2x
Now, 2x = 36 × 25/9
⇒ 2x = 100
⇒ x = 50 metre