SOLUTION: Pump R can fill a tank in 8 hours and Pump Q can empty it in 12 hours. If both pumps are in operation, how long will it take to fill the tank?

Algebra.Com
Question 1163866: Pump R can fill a tank in 8 hours and Pump Q can
empty it in 12 hours. If both pumps are in operation,
how long will it take to fill the tank?
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

Pump R adds    of the tank volume per hour, 

while Pump Q  drains    of the tank volume per hour.


The net inflow rate is then the difference


     -  =  =   of the tank volume per hour.


Hence, in 24 hours the tank will be filled.

Solved.

----------------

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.



RELATED QUESTIONS

Pump A can fill a tank in 10 hours. Pump B can empty the same tank in 15 hours. If both... (answered by ewatrrr)
an inlet pump can fill a water tower in 15 hours and an outlet pump can empty the tower... (answered by CharlesG2)
Pump A can fill a tank in 6 hours. Pump B can empty the same tank in 10 hours. How long... (answered by Theo)
Pump A can fill a tank in 15 hours, pump B can fill the same tank in 19 hours 20mins. If... (answered by ankor@dixie-net.com)
Pump A can fill an empty 10,000 gallon tank in 4 hours, and auxiliary pump B can fill the (answered by ikleyn)
A pump can fill a pool in 12 hours, and a second pump can fill the same pool in 6 hours.... (answered by macston)
An 8 hp pump can fill a tank in 8 hours. A smaller 3 hp pump fills the same tank in 12... (answered by drk)
One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If (answered by rothauserc,ikleyn)
a pump can pump out water from a tank in 11 hours. another pump can pump out water from... (answered by nerdybill)