SOLUTION: I am having trouble with this rate problem: One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool if the

Question 1114844: I am having trouble with this rate problem:
One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool if they were working together?

Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
One pipe can fill a pool in 10 hours.
Another pipe can fill the pool in 30 hours.
How long would it take them to fill the pool if they were working together?
:
Let t = time required with both pipes work together
let the completed job = 1 (a full pool)
:
Each will do a fraction of the job, the two fractions add up to 1
:
+| = 1
multiply equation by 30, get rid of the denominators
30* + 30* = 30(1)
cancel
3t + t = 30
4t = 30
t =
t = 7.5 hrs working together

Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
.

First pipe fills of the tank volume per hour. Second pipe fills of the tank volume per hour. Working together, they fill = = = of the tank volume per hour. It means that they fill the tank in = 7.5 hours = 7 hours and 30 minutes working together.

Solved.

---------------
It is a 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.

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