Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction

Answer 1

First, we need to find the rates at which Anita and Chao work.

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

Working together, their combined rate is:
1/8 + 1/6 = 3/24 + 4/24 = 7/24 pool per hour

Therefore, working together, Anita and Chao can clean 7/24 of a pool in 1 hour. To clean the entire pool, they would need:
24/7 * 1 hour = 24/7 hours

Therefore, it should take Anita and Chao 3 3/7 hours to clean a typical pool.