Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. 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. (2 points)

Answer 1

First, we calculate the rate at which Anita works:

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

Next, we calculate the rate at which Chao works:

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

When Anita and Chao work together, their rates add up:

Rate working together = Anita's rate + Chao's rate = 1/8 + 1/6 = 3/24 + 4/24 = 7/24 pools per hour

Finally, we calculate how long it would take Anita and Chao working together to clean a typical pool:

Time = 1 pool / (Rate working together) = 1 / (7/24) = 24/7 hours = 3 3/7 hours

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