Multiple choice

Two trains of lengths 180 m and 220 m are running on parallel tracks. If they run in the same direction, the faster train takes 25 seconds to pass the slower train and if they run in opposite directions, it takes them 10 seconds to pass each other. Find the speed of the faster train.

  1. 28 m/s

  2. 36 m/s

  3. 20 m/s

  4. 17.5 m/s

  5. None of these
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A Correct answer
Explanation

Let speeds be v1, v2. Same direction: (v1-v2) = (180+220)/25 = 400/25 = 16. Opposite: (v1+v2) = (180+220)/10 = 400/10 = 40. Adding: 2v1 = 56, v1 = 28 m/s.

AI explanation

Let the speed of the faster train be x m/s and the slower train be y m/s. When running in the same direction, the relative speed is x - y, so 400 / (x - y) equals 25, which simplifies to x - y = 16. When running in opposite directions, the relative speed is x + y, so 400 / (x + y) equals 10, which simplifies to x + y = 40. Adding the two equations gives 2x = 56, making the speed of the faster train 28 m/s.

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