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?

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
.
Pump A fills  of the pool volume per hour.

Pump B fills  of the pool volume per hour.

Working together, the two pumps fill  =  =  of the pool volume per hour.

Hence, it will take  of the hour for two pumps to fill the tank.


 hours =  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".



RELATED QUESTIONS

Pump A can fill a swimming pool in 30 hours, while working together with pump B they will (answered by josgarithmetic)
Pump A can empty a swimming pool in 5 hours, pump B can empty it in 8 hours, and pump C... (answered by ikleyn,greenestamps)
Pump A can empty a swimming pool in 5 hours, pump B can empty it in 8 hours, and pump C... (answered by ikleyn,greenestamps,math_tutor2020)
A large pump takes only 6 hours to fill a pool while a smaller pump takes 9 hours by... (answered by richwmiller)
It takes 9 hours for pump A to fill a tank alone. Pump B takes 15 hours to fill the same... (answered by nerdybill)
It takes pump A 2 hours less time than pump B to empty a certain swimming pool. Pump A is (answered by ankor@dixie-net.com)
Working alone, pump A can fill a pool in 8 hours, while pump B can fill it in 10 hours.... (answered by nerdybill)
one large pump can fill a swimming pool in 7 hours. a smaller pump takes 9 hours to fill... (answered by ikleyn)
A school's new pump can fill a swimming pool in 5 hours the old pump takes 10 hours.... (answered by richwmiller)