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.

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To find out how long it will take Anita and Chao working together to clean a typical pool, we can use the formula:

1/(time taken by Anita) + 1/(time taken by Chao) = 1/(time taken by both)

1/8 + 1/6 = 1/x

Multiplying through by 24x to clear the denominators:

3x + 4x = 24

7x = 24

x = 24/7

So, it will take Anita and Chao working together approximately 3 3/7 hours to clean a typical pool or 3 hours and 26 minutes.

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