SOLUTION: A tank has two pipes. One pipe that can fill it with water in three hours and another pipe that can empty it in six hours. If both pipes are open, how long will it take to fill th

Question 1115468: A tank has two pipes. One pipe that can fill it with water in three hours and another pipe that can empty it in six
hours. If both pipes are open, how long will it take to fill the empty tank?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39631)   (Show Source): You can put this solution on YOUR website!
Rates, tanks per hour

, tanks per HOUR.

This is 6 hour to FILL the 1 tank.
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
.

First pipe fills of the tank volume per hour. Second pipe drains of the tank volume per hour. The net inflow is the positive difference - = of the tank volume per hour. Hence, it will take 6 hours to fill the tank if both pipes are open.

Solved.

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It is a typical and standard joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site. See the lessons
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    - 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".

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

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