Multiple choice

A man walks at an average speed of 3 km/hr from his residence and reaches office 40 minutes early. If he walks at an average speed of 2 km/hr, he reaches 40 minutes late. What is the distance between his residence and office?

  1. 6 km

  2. 8 km

  3. 10 km

  4. 12 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time1 = D/3, Time2 = D/2. Difference in time = 80 minutes = 4/3 hours. D/2 - D/3 = 4/3. D/6 = 4/3, so D = 8 km.

AI explanation

Let the correct time to reach the office be t hours and the distance be d km. Using the formula Time equals Distance divided by Speed, we have d/2 = t + 2/3 and d/3 = t - 2/3. Subtracting the second equation from the first gives d/2 - d/3 = 4/3. Solving this yields d/6 = 4/3, so d = 8. The distance is 8 km.

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