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      Question

      Aruna is sitting inside train P which is travelling at a

      speed of 60 km/h. Another train Q, whose length is twice the length of train P and travelling with a speed of 70 km/h (in opposite direction to that of train P) crosses Aruna in 12 seconds. Find the approximate length of train P (in metres).
      A 216 Correct Answer Incorrect Answer
      B 255 Correct Answer Incorrect Answer
      C 185 Correct Answer Incorrect Answer
      D 320 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Relative speed = 60 + 70 = 130 km/h = 130 × 5/18 = 36.11 m/s

      Let the length of train P be ‘x’ meters

      So, 2x = 36.11 × 12

      Or, 2x = 433.32

      Or, x = 216.66 ≈ 216 metres

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