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

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

$\frac{7}{24}t =1$

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

Answer 2

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: