SOLUTION: Solve and verify your answer. One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to fill the pool if t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve and verify your answer. One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to fill the pool if t      Log On


   



Question 1130457: Solve and verify your answer.
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to fill the pool if the drain is left open?

Answer by ikleyn(52830) About Me  (Show Source):
You can put this solution on YOUR website!
.
Filling rate is  1%2F6 of the pool volume per hour.


Draining rate is  1%2F12 of the pool volume per hour.


The net inflow rate is the difference  1%2F6+-+1%2F12 = 2%2F12-1%2F12 = 1%2F12  of the pool volume per hour.


So, 12 hours are needed to fill the pool under the given conditions.

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.