SOLUTION: A new type of pump can train a certain pool in 9 hours. an older pump can drain the pool in 11 hours. how long will it take both pumps working together to drain the pool?

Algebra.Com
Question 1144656: A new type of pump can train a certain pool in 9 hours. an older pump can drain the pool in 11 hours. how long will it take both pumps working together to drain the pool?
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
A new type of pump can drain a certain pool in 9 hours. an older pump can drain the pool in 11 hours.
how long will it take both pumps working together to drain the pool?
~~~~~~~~~~~~~~~~~~~~~~


The new pump drains    of the pool volume in our (in each hour).


The old pump drains    of the pool volume in our (in each hour).


Working together, the two pumps drain   +  =  =  of the pump volume per hour.


Hence, it will take   hours =  hours = 4 hours and 57 minutes for two pumps working together to drain the pool.

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

A new type of pump can drain a certain pool in 9 hours. An older pump can drain the pool... (answered by josgarithmetic,MathTherapy)
A new type of pump can drain a certain pool in 3 hours. An older pump can drain the... (answered by ptaylor,macston)
A new type of pump can drain a certain pool in 4 hours. An older pump can drain the... (answered by josmiceli,greenestamps,Alan3354)
A new type of pump can drain a certain pool in 6 hours. An older pump can drain the... (answered by ikleyn,rothauserc,Alan3354)
A new type of pump can drain a pool in 6 hours. An older pump can drain a pool in 14... (answered by ikleyn)
a new type of pump can drain a pool in 6 hours. an older pump can drain the pool in 12... (answered by josgarithmetic,ikleyn,greenestamps,Alan3354)
A new type of pump can train a certain pool in 4 hours. An older pump can drain a pool in (answered by josgarithmetic)
Working together, two pumps can drain a certain pool in hours. If it takes the older... (answered by ankor@dixie-net.com)
Working together, two pumps can drain a certain pool in 6 hours. If it takes the older... (answered by ikleyn)