Question 1084102: A children's inflatable pool takes 22 minutes to fill with an electrical pump. It takes 52 minutes to let the air out of the pool. If the pool's valve is accifentally left open, how long will it take to fill the pool? I need help understanding by seeing the steps
Answer by ikleyn(52855)   (Show Source):
You can put this solution on YOUR website! .
The rate of filling the inflatable pool with the electrical pump is  of the volume per minute.
The rate of rejecting the air through the open valve is 1/52 of the pool volume per minute.
The combined rate is the difference  =  =  = 0.0262 of the pool volume per minute.
Hence it will take  = 38.133 minutes to fill the pool if the electrical pump is ON and the pool's valve is accidentally open.
Solved with all step explained.
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
- 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".
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Comment from student: No, I don't understand still. Could you give more steps to get the answer?
I'm working this in an ACT math book, so I already have the answer, I just need to have the steps to GET to the answer.
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My response. I got this comment/feedback, but I am not sure if it relates to this problem, since there is no reference to the problem ID
(which, actually, MUST be . . . )
If it is not your comment, then ignore my response.
But if it is yours, then read it attentively.
You got THE BEST POSSIBLE SOLUTION AND EXPLANATION.
READ AND RE-READ it UNTIL you will get FULL UNDERSTANDING.
ALSO READ AND RE-READ the lessons I referred to.
If you still do not understand it, it means that you are in wrong class.
I wait the feedback from you with your "Thanks . . . " when you get understanding.
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