SOLUTION: Working together, Kim and Chris can paint a room in 3 hours. Working alone, Chris can do the job in 5 hours. How long will it take Kim to do the job alone?

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Question 1158130: Working together, Kim and Chris can paint a room in 3 hours. Working alone, Chris can do the job in 5 hours. How long will it take Kim to do the job alone?
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
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Working together, they do  1%2F3  of the job per hour.


Working alone, Chris makes  1%2F5  of the job per hour.


Hence, Kim makes  1%2F3- 1%2F5 = 5%2F15+-+3%2F15 = 2%2F15  of the job per hour.


Hence, Kim will complete the job in  15%2F2 hours = 71%2F2 hours = 7 hours and 30 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 introductory 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.