SOLUTION: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 ​hours, while the outlet pipe can empty it in 9 hours. How long will it take to fill the vat

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 ​hours, while the outlet pipe can empty it in 9 hours. How long will it take to fill the vat      Log On


   

Question 1175649: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 ​hours, while the outlet pipe can empty it in 9 hours. How long will it take to fill the vat if both pipes are left​ open?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The combined net inflow rate is


    1%2F3 - 1%2F9 = 3%2F9+-+1%2F9 = 2%2F9  of the vat volume per hour.


It means that the required time to fill is  9%2F2 = 4.5 hours.    ANSWER

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.