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      Question

      Priya is sitting inside train C which is travelling at a

      speed of 48 km/h. Another train D, whose length is five times the length of train C and travelling with a speed of 54 km/h (in opposite direction to that of train C) crosses Priya in 20 seconds. Find the length of train C (in metres).
      A 113 Correct Answer Incorrect Answer
      B 255 Correct Answer Incorrect Answer
      C 440 Correct Answer Incorrect Answer
      D 590 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Relative speed = 48 + 54 = 102 km/h = 102 × 5/18 = 28.33 m/s

      Let the length of train C be ‘x’ meters

      So, 5x = 28.33 × 20

      Or, 5x = 566.6

      Or, x = 113.32 ≈ 113 metres

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