Two trains running in the same direction at speeds of 110 km/hr and 90 km/hr cross each other completely in 54 seconds. If the length of the first train is 130 metres, find the length of the second train.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 170 metre.
Given:
Length of first train = 130 m
Speed of first train = 110 km/h
Speed of second train = 90 km/h
Time = 54 sec
Formula Used:
Speed = Distance/time
Relative speed in same direction = S1 - S2
Speed (kilometer/hour) = Speed(meters/seconds) × 5/18 m/s
Explanation:
Let's assume the length of the other train is x
⇒ 54 = (130 + x)/(110 - 90)
⇒ 54 = (130 + x)/(20 × 5/18)
⇒ 54 = 18 × (130 + x)/100
⇒ 300 - 130 = x
⇒ x = 170 meters