Multiple choice

A train covers a certain distance in 12 hours if no stops are there in the journey. If it had travelled at 8 kmph more speed, it would cover the distance in 10 hours 30 minutes. What is the initial speed?

  1. 56 kmph

  2. 72 kmph

  3. 54 kmph

  4. 70 kmph

  5. None of these
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A Correct answer
Explanation

Let distance be D and initial speed be S. D = 12S. Also D = (S+8) * 10.5. 12S = 10.5S + 84. 1.5S = 84. S = 84 / 1.5 = 56 kmph.

AI explanation

Let the initial speed of the train be v kmph and the distance be d km. The first condition gives the equation d = 12v. The second condition states that at a speed of v + 8, the time taken is 10.5 hours, giving the equation d = 10.5(v + 8). Equating the two expressions for distance yields 12v = 10.5v + 84. Solving for v gives 1.5v = 84, which means the initial speed is 56 kmph.

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