Multiple choice

A boy starts walking at the rate of 2 km/hr from his home at 7 a.m. and reaches the market. He found that the market was closed and then immediately returned to his home at the rate of 3 km/hr and observed that it is 10 a.m. Find the distance covered by the boy.

  1. 7 km

  2. 7.2 km

  3. 8 km

  4. 8.6 km

  5. 9 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time taken = 3 hours. Speed 1 = 2 km/h, Speed 2 = 3 km/h. Average speed = 2*2*3 / (2+3) = 12/5 = 2.4 km/h. Total distance = 2.4 * 3 = 7.2 km.

AI explanation

The total time taken for the round trip is 3 hours. Using the formula time equals distance divided by speed, let the one-way distance be x kilometers. The equation becomes x/2 + x/3 = 3. Solving this gives 5x/6 = 3, which means x = 3.6 km. The total distance covered by the boy is twice this amount, which is 7.2 km.

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