SOLUTION: At their summer cottage, the Roberts have a wading pool that can be filled in 24 minutes by using 2 hoses. If only the larger hose is used, it takes 40 minutes to fill the pool.

Question 1163868: At their summer cottage, the Roberts have a wading
pool that can be filled in 24 minutes by using 2 hoses. If
only the larger hose is used, it takes 40 minutes to fill the
pool. How long would it take to fill the pool using only
the smaller hose?
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.


From the combined filling rate, which is    of the pool volume per minute, 

subtract the filling rate of the larger hose, which is    of the pool volume per minute.


You will get then the filling rate of the smaller  hose

     -  =  =  = 

of the pool volume per minute.


It means that the smaller hose will fill the pool in 60 minutes.    ANSWER

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.

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