Multiple choice

Two trains A and B started from a same point P to reach point Q, which is at a distance of 100 km. Train A is 25% faster than train B. However, train A lost 25 minutes while stopping at a station but both the trains reached point Q at the same time. Find the speed of train B.

  1. 56 kmph

  2. 64 kmph

  3. 24 kmph

  4. 48 kmph

  5. 96 kmph
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D Correct answer
Explanation

Let speed of B be v. Speed of A = 1.25v. Time for B = 100/v. Time for A = 100/(1.25v) + 25/60. 100/v = 80/v + 5/12. 20/v = 5/12. v = 48.

AI explanation

Let the speed of train B be v kmph, making the speed of train A 1.25v. Using the formula time equals distance divided by speed, the travel time for train B is 100/v. Since train A lost 25 minutes but arrived at the same time, its moving time was 100/(1.25v), leading to the equation 100/v minus 100/(1.25v) equals 25/60 hours. Solving this equation gives 20/v equals 5/12, which results in a speed of 48 kmph.

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