Multiple choice

A train running at a speed of 40 km per hour takes 2 hours 6 minutes more to cover a distance than the train running at 96 km per hour. What is the distance covered by the trains?

  1. 144 km

  2. 135 km

  3. 120 km

  4. 169 km

  5. None of these
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A Correct answer
Explanation

Let distance be D. Time1 = D/40, Time2 = D/96. D/40 - D/96 = 2.1 hours (2 hours 6 mins). (12D - 5D) / 480 = 2.1. 7D / 480 = 2.1. 7D = 1008. D = 144.

AI explanation

Using the Time, Speed and Distance formula, time is equal to distance divided by speed. We convert 2 hours 6 minutes into 2.1 hours, and let the distance be D. This gives the equation D/40 - D/96 = 2.1. Finding a common denominator, we get (96D - 40D)/3840 = 2.1, which simplifies to 56D/3840 = 2.1. Solving for D yields D = 2.1 * 3840 / 56, resulting in D = 144 km.

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