Question

Please explain this. Hello, I'm terrible at word problems, and I was hoping someone could give me the written equation and explain why for this word problem. (NOT FULLY WORKED OUT to answer) Here is the problem "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."

Thanks in advance!

Answer 1

Anita cleans 1/8 of the pool each hour and Chao cleans 1/5 of the pool each hour.

`(x)/(8)` +
`(x)/(6)` =
`(7)/(24)`

then you take
`(1)/((7/4)` =
`(27)/(7)`

your answer will be

Explanation:

Answer 2

`t =(24)/(7)\ hours`

Explanation:

For these types of problems use the following formula.

`(t)/(x)+(t)/(z) =1`

Where t is the time it takes them both to clean the entire pool if they work together.

x is the time it takes Anita to clean the pool

z is the time it takes Chao to clean the pool

So:

`(t)/(8)+(t)/(6) =1`

Now solve the equation for t

`(7)/(24)t =1`

`t =(24)/(7)\ hours`