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A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are turned on at the same time, how long will it take to fill the pool?
-What equation can be used to solve this work problem?

-How many minutes will it take both hoses to fill the pool?

Respuesta :

iz4ya999
-What equation can be used to solve this work problem?
t/30 + t/20 = 1

-How many minutes will it take both hoses to fill the pool?
12 minutes
david8644

Answer:

12 minutes.

Explanation:

IN order to solve this we have to create an equation, as you can see both water hoses have a different rate of filling up the pool, one is 20 minutes and the other one is 30 minutes so, both are open the same time, so they will share time, and the total amount will be described as 1, since that is the amount of pools they are filling up:

[tex]\frac{1}{t} =\frac{1}{20} +\frac{1}{30} \\\frac{1}{t} =\frac{5}{60}=\frac{1}{12}[/tex]

So the rate at wich the pool will fill up will be 12 minutes.

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