SOLUTION: Can someone help with this. A swimming pool can be filled by a hose in 8 hrs. It can be emptied by a drainpipe in 12 hrs. If the drainpipe is open while the tank is filling, how

Question 1109084: Can someone help with this.
A swimming pool can be filled by a hose in 8 hrs. It can be emptied by a drainpipe in 12 hrs. If the drainpipe is open while the tank is filling, how long will it take to fill the pull
Answer by ikleyn(52855) (Show Source): You can put this solution on YOUR website!
.

The hose adds    of the tank volume each hour.


The draining pipe drains    of the tank volume each hour.


The net water balance is positive   -  =  -  =   of the tank volume in hour.


Therefore, it will take 24 hours to fill the tank if both tubes are turned on.

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It is a typical 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".

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

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