Question
Anita can clean a typical pool in eight hours. Ciao can clean a typical pool in six hours. How long should it take Anita and ciao working together to clean a typical pool? So all your work your final is an integer or reduced fraction..
Answers
Answered by
GPT 3.5
To find out how long it will take Anita and Ciao working together to clean a pool, we need to calculate their combined rate of work.
Anita's rate of work = 1 pool / 8 hours = 1/8 pools per hour
Ciao's rate of work = 1 pool / 6 hours = 1/6 pools per hour
Combined rate of work = Anita's rate of work + Ciao's rate of work
Combined rate of work = 1/8 + 1/6 = 3/24 + 4/24 = 7/24 pools per hour
Now we need to find out how long it will take Anita and Ciao to clean a pool at a combined rate of 7/24 pools per hour.
Let x be the number of hours it takes Anita and Ciao to clean the pool together.
(7/24) * x = 1
x = 24/7 = 3 3/7 hours
Therefore, it will take Anita and Ciao 3 3/7 hours to clean a typical pool together.
Anita's rate of work = 1 pool / 8 hours = 1/8 pools per hour
Ciao's rate of work = 1 pool / 6 hours = 1/6 pools per hour
Combined rate of work = Anita's rate of work + Ciao's rate of work
Combined rate of work = 1/8 + 1/6 = 3/24 + 4/24 = 7/24 pools per hour
Now we need to find out how long it will take Anita and Ciao to clean a pool at a combined rate of 7/24 pools per hour.
Let x be the number of hours it takes Anita and Ciao to clean the pool together.
(7/24) * x = 1
x = 24/7 = 3 3/7 hours
Therefore, it will take Anita and Ciao 3 3/7 hours to clean a typical pool together.