Multiple choice

Two trains which are 150 m long each are moving in opposite directions. They cross each other in 12 seconds. If one train is moving two and a half times as fast the other train, then find the speed of the faster train.

  1. 125 km/hr.

  2. 132 km/hr.

  3. 168 km/hr.

  4. 172 km/hr.

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

Total distance = 150 + 150 = 300 m. Relative speed = 300/12 = 25 m/s = 90 km/hr. Let slower train speed = v, then faster = 2.5v. So v + 2.5v = 3.5v = 90 km/hr. Therefore v = 90/3.5 ≈ 25.7 km/hr and faster train = 2.5 × 25.7 ≈ 64.3 km/hr. None of the given options (125, 132, 168, 172) match this result.

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