5 vote
Two trains of lengths 75m and 95m are moving in the same direction at 9 m/s and 8 m/s respectively. What is the time taken by the faster train to cross the slower train?
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Two trains of lengths 75m and 95m are moving in the same direction at 9 m/s and 8 m/s respectively. What is the time taken by the faster train to cross the slower train?
1). 120 seconds
2). 130 seconds
3). 150 seconds
4). 170 seconds
1 answers
15 vote
Since, both the trains are going in the same direction,
∴ Relative speed = (9 – 8) m/s = 1 m/s
Note: When a train passes a platform or a long object, the distance travelled by the train, while crossing that object, would be equal to the sum of the lengths of the train and length of that object.
∴ Sum of the lengths = 75 + 95 = 170m
We know that:
Speed = Distance/Time
∴ Time required to cross the slower train by faster train = 170/1 = 170 s
Hence, the required time for faster train to cross the slower train is 170 seconds.