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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.
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Anita's work rate: 1 pool per 8 hours = 1/8 pool per hour
Chao's work rate: 1 pool per 6 hours = 1/6 pool per hour
Working together: (1/8 + 1/6) pools per hour = (3/24 + 4/24) pools per hour = 7/24 pools per hour
To clean 1 pool, the time it takes working together is: 1 / (7/24) hours = 24/7 hours = 3 3/7 hours, or approximately 3 hours and 26 minutes.
Therefore, it would take Anita and Chao working together approximately 3 hours and 26 minutes to clean a typical pool.
Chao's work rate: 1 pool per 6 hours = 1/6 pool per hour
Working together: (1/8 + 1/6) pools per hour = (3/24 + 4/24) pools per hour = 7/24 pools per hour
To clean 1 pool, the time it takes working together is: 1 / (7/24) hours = 24/7 hours = 3 3/7 hours, or approximately 3 hours and 26 minutes.
Therefore, it would take Anita and Chao working together approximately 3 hours and 26 minutes to clean a typical pool.
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