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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?
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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.
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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.