SOLUTION: Left on together, the cold and hot water faucets of a certain buthtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill the tub by itself, how lo

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Question 565478: Left on together, the cold and hot water faucets of a certain buthtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own? Do not do any rounding.
Answer by ankor@dixie-net.com(22740) (Show Source):
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Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub.
If it takes the cold water faucet 17 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own?
:
Let h = the time required by the hot faucet to fill the tub
:
Let the full tub = 1
:
A typical shared work equation
+ = 1
multiply by 17h, results:
7h + 7(17) = 17h
7h + 119 = 17h
119 = 17h - 7h
119 = 10h
h = 119/10
h = 11.9 min for the hot water to fill it
:
:
Check this:
+ =
.4118 + .5882 = 1