Multiple choice general knowledge math & puzzles

Two friends A and B are moving towards Q and P respectively from P and Q respectively. The distance between P and Q is 600 m and the speeds of the friends, A and B are 6 m/s and 8 m/s respectively. How much time after A starts for P, does B have to start for Q so that they meet at the exact midpoint of P and Q?

  1. 11 sec

  2. 10.5 sec

  3. 15 sec

  4. 12.5 sec

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The midpoint is 300 m from each end. A takes 300/6 = 50 s to reach it, while B takes 300/8 = 37.5 s. For them to meet there, B must start 50 - 37.5 = 12.5 s after A. This matches option D.