Anita can clean a typical pool in eight hours. Chao can clean a typical pool in six hours. How long should it take and Antia and Chao working together to clean a typical pool show all you work leave your final answer as an integer or a reduced fraction.

Answer 1

First, we need to find their combined work rate.

Anita's work rate = 1 pool / 8 hours = 1/8 pools per hour
Chao's work rate = 1 pool / 6 hours = 1/6 pools per hour

Their combined work rate = 1/8 + 1/6 = 3/24 + 4/24 = 7/24 pools per hour

To find how long it will take them to clean a typical pool together, we take the reciprocal of their combined work rate:

1 / (7/24) = 24/7

Therefore, Anita and Chao working together can clean a typical pool in 24/7 hours, or approximately 3 hours and 25 minutes.