Multiple choice

A train passes a platform 240 m long in 18 seconds and a pole in 10 seconds. Find the length of the train.

  1. 280 m

  2. 300 m

  3. 320 m

  4. 240 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let L be the length of the train and v be the speed. L = v * 10. L + 240 = v * 18. Substituting L = 10v: 10v + 240 = 18v, 8v = 240, v = 30 m/s. L = 10 * 30 = 300 m.

AI explanation

Let the length of the train be L and its speed be V. Passing a pole means the train covers its own length, so V equals L divided by 10. Passing a 240 m platform means the train covers its own length plus the platform length, so V equals (L plus 240) divided by 18. Equating the two speeds gives L divided by 10 equals (L plus 240) divided by 18. Solving this equation yields 18L equals 10L plus 2400, which simplifies to 8L equals 2400 and gives a train length of 300 m.

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