Multiple choice

A boy went to his school at a speed of 12 km/hr and returned to his house at a speed of 8 km/hr. If he has taken 50 minutes for the whole journey, what was the total distance walked?

  1. 4 km

  2. 8 km

  3. 16 km

  4. 20 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time = D/12 + D/8 = 50/60 hours. (2D + 3D)/24 = 5/6. 5D/24 = 5/6. D = 4. Total distance walked = 2 * D = 8 km.

AI explanation

The average speed for the round trip when distances are equal is 2 x 12 x 8 / (12 + 8), which equals 192/20 or 9.6 km/hr. The total time taken is 50 minutes, which is 5/6 hours. Therefore, the total distance walked is 9.6 multiplied by 5/6, equaling 8 km.

Keep practicing — related questions