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Two trains are moving in the same direction along parallel tracks. One of them is 200 m long travelling with a velocity of 20 m s - 1 . The second one is 800 m long travelling with a velocity of 7 . 5 m s - 1 . The time taken for the first train to overtake the second is

Options

  1. A20 s
  2. B40 s
  3. C60 s
  4. D80 s

Correct answer

D. 80 s

Step-by-step solution

From the figure, the relative displacement is s r e l = 800 + 200 m = 1000 m υ r e l = υ 1 - υ 2 = 20 - 7.5 m s - 1 = 12.5 m s - 1 ∴ t = s r e l υ r e l = 1000 12.5 = 80 s

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