SOLUTION: It takes the owner of a dog kennel 8 hours to clean all of the cages. If it takes her assistant 3 hours longer, how long will it take if they work together?

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Question 1186292: It takes the owner of a dog kennel 8 hours to clean all of the cages. If it takes her assistant 3 hours longer, how long will it take if they work together?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!

The owner makes  1%2F8 of the job per hour.


The assistant makes  1%2F%288%2B3%29 = 1%2F11  of the job per hour.


Their combined rate of work is  1%2F8 + 1%2F11 = 11%2F88+%2B+8%2F88 = 19%2F88  of the job per hour.


It means that working together, they complete the job in  


    88%2F19 hours = 4 12%2F19 hours = 4 hours and 37.9 minutes = 4 hours 38 minutes (approximately).    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.