Joy is filling her hot tub with two hoses in the backyard. One hose can fill the tub in three hours while a thinner hose takes seven hours. However, Joy forgot to close the drain, so while the tub is being filled it's also draining! If it takes four hours to drain the hot tub, how long will it take to fill the tub with both hoses running and the drain open?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.82TI: Erlinda is having a party and wants to fill her hot tub. If she only uses the red hose it takes 3...
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Joy is filling her hot tub with two hoses in the backyard. One hose can fill the tub in three hours while a thinner hose takes seven hours. However, Joy forgot to close the drain, so while the tub is being filled it's also draining! If it takes four hours to drain the hot tub, how long will it take to fill the tub with both hoses running and the drain open?

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