Multiple choice

A train passes an electric pole in 10 seconds and a 120 m long platform in 18 seconds. Its length is

  1. 150 m

  2. 130 m

  3. 240 m

  4. 180 m

  5. 120 m
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A Correct answer
Explanation

Let the train length be L and speed be v. L = v * 10. Also, L + 120 = v * 18. Substituting v = L/10 into the second equation: L + 120 = (L/10) * 18 => L + 120 = 1.8L => 0.8L = 120 => L = 150 m.

AI explanation

Let the length of the train be L and its speed be v; passing the pole gives the equation v equals L divided by 10. Crossing the 120 m platform means the train covers L plus 120 meters in 18 seconds, giving the equation v equals (L plus 120) divided by 18. Substituting the first equation into the second gives L divided by 10 equals (L plus 120) divided by 18, which solves to L equals 150 m.

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