Multiple choice

A train passes a man standing on the bridge in 8 seconds and passes the bridge of length 280 metres in 24 seconds. What is the length of the train?

  1. 240 metres

  2. 140 metres

  3. 1200 metres

  4. 300 metres

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let train length be L and speed be v. L/v = 8. (L+280)/v = 24. From first, v = L/8. Substitute into second: (L+280)/(L/8) = 24 => 8(L+280)/L = 24 => L+280 = 3L => 2L = 280 => L = 140.

AI explanation

Let the length of the train be L and its speed be S. Using the formula distance equals speed multiplied by time, the train passing the man gives L = 8S. When passing the 280 m bridge, the total distance is L + 280, so L + 280 = 24S. Substituting 8S for L in the second equation gives 8S + 280 = 24S, which simplifies to 16S = 280 and yields S = 17.5 m/s. Multiplying this speed by 8 seconds gives the train's length as 140 metres.

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