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      Question

      Train 'A' can cross a tree and a bridge of 300 metres in 5

      sec and 15 sec, respectively. Train 'B' can cross the same bridge in 20 seIf the length of train 'B' is 50 metres more than length of train 'A', then find the time taken by train 'A' to completely overtake train 'B'.
      A 60 sec Correct Answer Incorrect Answer
      B 65 sec Correct Answer Incorrect Answer
      C 70 sec Correct Answer Incorrect Answer
      D 75 sec Correct Answer Incorrect Answer
      E 80 sec Correct Answer Incorrect Answer

      Solution

      Let the length and speed of train 'A' be 'l' metres and 'a' m/s, respectively.
      ATQ,

      (l/a) = 5
      So, 'l' = 5a ....................... (I)

      Also,
      {(l + 300) ÷ a} = 15
      Using value of 'l' from equation (I), we get,
      5a + 300 = 15a
      300 = 10a
      So, a = 30
      l = 5a = 150
      Train B = 150 + 50 = 200 m
      Speed of train B = (200 + 300) ÷ 20 = 25 m/s
      Time = (200 + 150) ÷ (30 25) = 70 sec

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