SOLUTION: For a certain bathtub the hot water faucet can fill the tub in 13 minutes. The cold water faucet can fill the tub in 7 minutes. If both faucets are used together, how long will it

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Question 1140427: For a certain bathtub the hot water faucet can fill the tub in 13 minutes. The cold water faucet can fill the tub in 7 minutes. If both faucets are used together, how long will it take to fill the tub?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The filling rate for faucets filling the tub at the same time is the of their rates.
The unit should be per .
You will then want thof the result to have per .







minutes<---- your answer


Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

The hot faucet fills    of the bathtub volume per minute.


The cold faucet fills    of the bathtub volume per minute.


Together, they fill   =  =   of the bathtub volume per minute.


It means that it will take    minutes =  minutes = 4 minutes and 33 seconds 

    to fill the bathtub if the two faucets are used together.  ANSWER

Solved.

------------------

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.



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