Multiple choice

A train passes a standing man in 6 seconds and a 600 metre long platform in 14 seconds. Find the speed and length of the train.

  1. 75 m/s, 450 metres

  2. 40 m/s, 240 metres

  3. 60 m/s, 360 metres

  4. 100 m/s, 600 metres

  5. 50 m/s, 300 metres
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A Correct answer
Explanation

Let L be length, V be speed. L = V * 6. L + 600 = V * 14. Subtracting: 600 = 8V => V = 75 m/s. L = 75 * 6 = 450 m.

AI explanation

Let the length of the train be L and its speed be S. Passing a standing man gives the equation L = 6S. Passing a 600 metre platform means the total distance is L + 600, so L + 600 = 14S. Substituting 6S for L in the second equation yields 6S + 600 = 14S, which solves to 8S = 600 and S = 75 m/s. Multiplying this speed by 6 seconds gives the length as 6 * 75 = 450 metres, so the speed and length are 75 m/s and 450 metres.

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