SOLUTION: It takes three hours for an inlet pipe to fill a tank and six hours for an outlet pipe to drain it. A forgetful maintenance worker empties a tank and then refills it. However, he

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Question 1166338: It takes three hours for an inlet pipe to fill a tank and six hours for an outlet pipe to drain it. A forgetful maintenance worker empties a tank and then refills it. However, he forgot to close the outlet pipe when the refilling starts. How many hours will it take the tank to be half filled?

Answer by ikleyn(52893) About Me  (Show Source):
You can put this solution on YOUR website!
.

The inflow rate is  1%2F3  of the tank volume per hour.


The outflow rate is  1%2F6  of the tank volume per hour.


The net inflow rate is the difference  1%2F3 - 1%2F6 = 2%2F6+-+1%2F6 = 1%2F6  of the tank volume per hour.


Hence, the tank will be filled in 6 hours, under given conditions.    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.