Two trains of equal length are running on parallel lines in the same direction at 46 kmph and 36 kmph. The faster train passes the slower train in 36 seconds. The length of each train is:
Answers
The length of each train is: A. Explanation: Let the length of each train be x metres.
SOLUTION:-
When two trains are running in opposite direction,
⇒Relative speed = 60 + 48
⇒108 kmph
⇒ 108 ×5/18 m/sec
⇒30 m/sec
Sum of the lengths of the two trains is sum of the distances covered by the two trains in the above relative speed.
Then, sum of the lengths of two trains is
⇒ Speed × Time
⇒ 30 ×15
⇒450 m
When two trains are running in the same direction,
Relative speed = 60 - 48
⇒ 12 kmph
⇒ 12×5/18
⇒10 / 3 m/sec
When the two trains running in the same direction, a person in the faster train observes that he crossed the slower train in 36
seconds.
The distance he covered in 36 seconds in the relative speed is equal to the length of the slower train.
➞Length of the slower train = 36 ⋅ 10/3 = 120 m
➞Length of the faster train = 450 - 120 = 330 m
Hence, the length of the two trains are 330 m and 120 m.