Multiple choice

A train passes a man standing on a platform in 9 sec and also crosses the 286 m long platform in 22 sec. The length of the train (in m) is

  1. 198 m

  2. 188 m

  3. 176 m

  4. 180 m

  5. None of these
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A Correct answer
Explanation

Let L be the length of the train and v be its speed. v = L/9. Also, v = (L + 286)/22. Equating these: L/9 = (L + 286)/22. 22L = 9L + 2574. 13L = 2574. L = 198 m.

AI explanation

Let the length of the train be L and its speed be S. From the first condition, S = L / 9. When crossing the 286 m platform, the total distance covered is (L + 286) in 22 seconds, so S = (L + 286) / 22. Equating the speeds gives L / 9 = (L + 286) / 22, which simplifies to 22L = 9L + 2574. Solving yields 13L = 2574, so L = 198. The length of the train is 198 m.

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