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      Question

      A train takes 22 seconds to pass a tunnel of length 500 m

      and also overtakes a cyclist riding at 8 m/s in the opposite direction in 7 seconds. Determine the train's speed.
      A 32 m/s Correct Answer Incorrect Answer
      B 45 m/s Correct Answer Incorrect Answer
      C 25 m/s Correct Answer Incorrect Answer
      D 37 m/s Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Speed of the train = x m/s

      Length of the train = y m

      x = (y + 500)/22 ---- (1)

      x + 8 = y/7

      7x + 56 = y ---- (2)

      Substitute (2) in (1)

      x = (7x + 56 + 500)/22

      22x = 7x + 556

      x = 37


      Speed of the train = 37 m/s

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