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      Question

      Train 'X' crosses a standing pole in 12 seconds. Another

      train 'Y' crosses train 'X' in 24 seconds while running in opposite directions on parallel tracks. The lengths of train 'X' and train 'Y' are in the ratio 5:6. If train 'X' is running at a speed of 60 km/h, determine the speed of train 'Y' in km/h.
      A 6 km/h Correct Answer Incorrect Answer
      B 18 km/h Correct Answer Incorrect Answer
      C 12 km/h Correct Answer Incorrect Answer
      D 10 km/h Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Length of train 'X' = 12 × 60 × (5/18) = 200 m

      Length of train 'Y' = (200/5) × 6 = 240 m

      Let the speed of train 'Y' be 's' km/h.

      ATQ,

      (200 + 240) = 24 × (s + 60) × (5/18)

      Or, (440/24) × (18/5) = (s + 60)

      Or, s + 60 = 66

      So, s = 66 - 60 = 6 km/h

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