SOLUTION: Two pipes are used to fill a pool. One pipe can fill the pool in 3 hours while the other pipe can fill the pool in 6 hours. The drain, which can empty the pool in 8 hours, was acci

Question 1139835: Two pipes are used to fill a pool. One pipe can fill the pool in 3 hours while the other pipe can fill the pool in 6 hours. The drain, which can empty the pool in 8 hours, was accidentally left open. How long will it take the pool tp fill completely?
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.

First pipe fills    of the pool volume per hour.


Second pipe fills    of the pool volume per hour.


The drain removes    of the pool volume per hour.


The net inflow rate is   =  =  =   of the pool volume per hour.


It means that the pool will be filled in   hours =  hours = 2 hours and 40 minutes.    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.

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