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      Question

      Aruna is aboard train A, which is moving at a speed of

      50 km/h. Another train, train B, travels in the opposite direction at 58 km/h and has a length three times that of train A. When train B passes Aruna in just 15 seconds, we are asked to determine the length of train A. (in metres).
      A 150 Correct Answer Incorrect Answer
      B 130 Correct Answer Incorrect Answer
      C 112.5 Correct Answer Incorrect Answer
      D 180 Correct Answer Incorrect Answer

      Solution

      Relative speed = 50 + 58 = 108 km/h = 108 × 5/18 = 30 m/s Let length of train A be ‘x’ meters So, 3x = 30 × 15 Or, 3x = 450 Or, x = 150 metres

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