SOLUTION: Pump A can empty a pool in 20 hrs. and pump B can empty it in 24 hrs. Working together, how long will it take to empty the pool?

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Question 1115559: Pump A can empty a pool in 20 hrs. and pump B can empty it in 24 hrs. Working together, how long will it take to empty the pool?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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Pump A drains 1%2F20 of the tank volume per hour.


Pump B drains 1%2F24 of the tank volume per hour.


Working together, they drain  1%2F20%2B1%2F24 = 6%2F120%2B5%2F120 = 11%2F120 of the tank volume per hour.


It means that two pipes will drain the tank in  120%2F11 hours = 1010%2F11 hours.

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
    - 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.