Multiple choice

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of x (in m)?

  1. 200

  2. 168

  3. 210

  4. 252
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D Correct answer
Explanation

Relative speed = 74 + 52 = 126 km/h = 35 m/s. In 12 seconds, total distance covered = 35 × 12 = 420 m (sum of both train lengths). If L is length of x, then length of y = (2/3)L. So L + (2/3)L = 420, giving (5/3)L = 420, so L = 420 × 3/5 = 252 m.

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