Multiple choice

Two trains of lengths 150 metres and 250 metres run on parallel lines. When they run in the same direction, it will take 36 seconds to cross each other. When they run in opposite direction, it will take 9 seconds to cross each other. Find the speeds of the two trains.

  1. 100 kmph and 60 kmph

  2. 200 kmph and 160 kmph

  3. 120 kmph and 80 kmph

  4. 100 kmph and 80 kmph

  5. None of these
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A Correct answer
Explanation

Let speeds be u and v (km/h). Total length = 400m = 0.4 km. Same direction: (u - v) = 0.4 / (36/3600) = 40 km/h. Opposite direction: (u + v) = 0.4 / (9/3600) = 160 km/h. Solving the system: 2u = 200, u = 100; 2v = 120, v = 60.

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