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wlad13 [49]
3 years ago
13

Please explain this. Hello, I'm terrible at word problems, and I was hoping someone could give me the written equation and expla

in 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!
Mathematics
2 answers:
lidiya [134]3 years ago
7 0

Answer:

t =\frac{24}{7}\ hours

Step-by-step explanation:

For these types of problems use the following formula.

\frac{t}{x}+\frac{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:

\frac{t}{8}+\frac{t}{6} =1

Now solve the equation for t

\frac{7}{24}t =1

t =\frac{24}{7}\ hours

enot [183]3 years ago
6 0

Answer:

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

\frac{x}{8} + \frac{x}{6} = \frac{7}{24}

then you take \frac{1}{(7/4} = \frac{27}{7}

your answer will be

Step-by-step explanation:

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