SOLUTION: pump A fills swimming pool in 6 hours while pump B takes only 4 hours. If A and B are used together, how long do they take to fill the pool?

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Question 1078810: pump A fills swimming pool in 6 hours while pump B takes only 4 hours. If A and B are used together, how long do they take to fill the pool?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Pump A fills 1%2F6 of the pool volume per hour.

Pump B fills 1%2F4 of the pool volume per hour.

Working together, the two pumps fill 1%2F6+%2B+1%2F4 = 2%2F12+%2B+3%2F12 = 5%2F12 of the pool volume per hour.

Hence, it will take 12%2F5 of the hour for two pumps to fill the tank.


12%2F5 hours = 22%2F5 hours = 2 hours and 24 minutes.

For a wide variety of similar solved joint-work problems with detailed explanations 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
in this site.

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".