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      Question

      Speeds of train 'A' and train 'B' are in the ratio 2:3,

      respectively. Train 'B' can completely overtake train 'A' in 300 seconds. If lengths of train 'A' and train 'B' are 400 metres and 500 metres, respectively, then find the time taken by the two trains to cross each other while they are running in opposite directions.
      A 60 seconds Correct Answer Incorrect Answer
      B 75 seconds Correct Answer Incorrect Answer
      C 90 seconds Correct Answer Incorrect Answer
      D 100 seconds Correct Answer Incorrect Answer

      Solution

      Let the speeds of train 'A' and train 'B' be '2x' m/s and '3x' m/s, respectively.

      ATQ;

      (400 + 500)/(3x - 2x) = 300
      ⇒ 900 / x = 300 ⇒ x = 3

      So, required time = (400 + 500)/(2×3 + 3×3) = 900 / 15 = 60 seconds

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