Multiple choice

Two trains are running on parallel tracks whose lengths are 100 meters and 80 meters respectively. If they travel in the same direction, they cross each other in 18 seconds. If they travel in the opposite direction, they cross each other in 9 seconds. Find the speed of the faster moving train?

  1. 15

  2. 5

  3. 20

  4. 18
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speeds be x (faster) and y (slower) in m/s. Same direction: relative speed = (x-y), distance = 180m, so x-y = 180/18 = 10. Opposite direction: relative speed = (x+y), so x+y = 180/9 = 20. Solving: adding gives 2x = 30, so x = 15 m/s. Option A (15) is correct.

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