SOLUTION: 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 lo

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 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 lo      Log On

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Question 1163327: 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?
Do not do any rounding.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Working together, the two facets fill  1%2F7  of the bathtub volume per minute.


The cold water facet fills  1%2F17  of the bathtub volume per minute.


It means that the hot water facet fills  1%2F7-1%2F17 = 17%2F%287%2A17%29+-+7%2F%287%2A17%29 = 10%2F119   of the bathtub per minute.


Hence, it will take  119%2F10 = 11 9%2F10 minutes = 11 minutes and 54 seconds for the hot facet water to fill the tank.

Solved.

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It is a standard and typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See the lessons
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Selected joint-work word problems from the archive


Read them and get be trained in solving joint-work problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic
"Rate of work and joint work problems"  of the section  "Word problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.