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Train A of length 100 m crosses a pole in 4 seconds. Train B approaching towards train A with a speed of 15 m/sec crosses it in 9.1 seconds…

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Train A of length 100 m crosses a pole in 4 seconds. Train B approaching towards train A with a speed of 15 m/sec crosses it in 9.1 seconds. Find the length of train B
  • A264 m
  • B200 m
  • C250 m
  • D260 m
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For Train A,

Speed = 100/4 = 25 m/s

Let the length of Train B be ‘x’

When the two trains cross each other by approaching each other,

Relative Speed = Sum of the speeds = 25 + 15 = 40 m/s

Distance = 100 + x

Time = 9.1 s

Speed = Distance/Time

∴ 40 = (100 + x)/9.1

∴ x + 100 = 364

∴ x = 264

∴ The length of the 2nd train is 264 m