Anita's rate: 1 pool / 8 hours = 1/8 pool per hour
Chao's rate: 1 pool / 6 hours = 1/6 pool per hour
Combined rate: (1/8 + 1/6) pool per hour = 7/24 pool per hour
To clean one pool together, they need (1 pool) / (7/24 pool per hour) = 24/7 hours
Reducing this fraction: 24/7 = 3 and 3/7 hours
Therefore, it should take Anita and Chao working together 3 and 3/7 hours (or 3.43 hours rounded to two decimal places) to clean a typical pool.
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 answers
Please show only the work, thank you.