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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!

User Krzydyn
by
8.4k points

2 Answers

4 votes

Answer:

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:

User OmaymaS
by
8.3k points
4 votes

Answer:


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

User Olliepower
by
8.3k points

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