SOLUTION: Josh’s swimming pool can be filled by using a garden hose in 14 hours. His neighbor, Jordan has offered a garden hose from his house, which can fill the pool in 18 hours. Ryan

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Question 1156033: Josh’s swimming pool can be filled by using a garden hose in 14 hours. His
neighbor, Jordan has offered a garden hose from his house, which can fill the
pool in 18 hours. Ryan accidentally leaves the drain open, which will empty the
pool in 25.5 hours. How long will it take to fill the pool? Give an exact answer.
I had:
t/14 + t/18 - t/25.5 = 1
Howver it is not easy to find a common denominator for this equation.
Found 2 solutions by BlGDAVE, ikleyn:
Answer by BlGDAVE(19)   (Show Source): You can put this solution on YOUR website!

Answer by ikleyn(52844)   (Show Source): You can put this solution on YOUR website!
.

Multiply both sides by 14*18*25.5  


and BOLDLY go forward.


You may report me about your progress.


If you do, then refer to the problem's ID number  1156033,


otherwise I will not know to which problem your comment does relate.

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To see many other similar solved problems. look into the lessons

    - Rate of work problems
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Using quadratic equations to solve word problems on joint work
    - Solving rate of work problem by reducing to a system of linear equations
    - Solving joint work problems by reasoning
    - Selected joint-work word problems from the archive
    - Joint-work problems for 3 participants
    - Had there were more workers, the job would be completed sooner
    - One unusual joint work problem
    - Special joint work problems that admit and require an alternative solution method
    - Joint work word problems for the day of April, 1
    - OVERVIEW of lessons on rate-of-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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