Two trains are running in opposite direction with the same speed. If the length of each train is 255 metres and they cross each other in 17 seconds, then what is the speed of each train?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 15 m/s.
Given that, length of both trains = 255 m each
Time taken by them to cross each other = 17 sec
Distance = Speed × Time
When two trains run in opposite direction, the relative speed of the trains is equal to the sum of their individual speeds.
Let the speed of each train be x m/sec.
Relative speed = x + x = 2x m/sec
Total distance = 255 + 255
⇒ 510 m
Distance = Speed × Time
⇒ 510 = 2x × 17
⇒ 2x = 30
⇒ x = 15
Hence the speed of each train is 15 m/s.