Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the pool once in 15 minutes. They swim back and forth f

Question

Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the pool once in 15 minutes. They swim back and forth for 80 minutes without stopping. The number of times they meet each other is _____

Accepted Answer

Relative speed = 1/10+1/15=1/6 pool/minute. First meeting at 6 min, subsequent meetings every 12 min. Meeting times within 80 min: 6, 18, 30, 42, 54, 66, 78 → 7 times.