Respuesta :
- The rate of the hose with the large diameter is:
Answer: A). 1/9.
- What is the unknown in the problem?
Answer: C). the time it takes for the hoses working together to fill the pool
-What part of the job does the hose with the large diameter do?
Answer: B). x/9
Using the together rate, it is found that working together, it would take 6 hours for the two hoses to fill the swimming pool.
What is the together rate?
- The together rate is the sum of each separate rate.
In this problem, the rates are as follows:
- The together rate is of [tex]\frac{1}{x}[/tex].
- For the hose with the larger diameter, the rate is of [tex]\frac{1}{9}[/tex].
- For the hose with the smaller diameter, the rate is of [tex]\frac{1}{18}[/tex].
Then, the together rate is of:
[tex]\frac{1}{x} = \frac{1}{9} + \frac{1}{18}[/tex]
[tex]\frac{1}{x} = \frac{2 + 1}{18}[/tex]
[tex]3x = 18[/tex]
[tex]x = \frac{18}{3}[/tex]
[tex]x = 6[/tex]
It would take 6 hours for the two hoses to fill the swimming pool.
To learn more about the together rate, you can take a look at https://brainly.com/question/25159431
