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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 tr…

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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?
  • A120 seconds
  • B130 seconds
  • C150 seconds
  • D170 seconds
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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.