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?

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) (Show Source): You can put this solution on YOUR website!
.



Working together, they do    of the job per hour.


Working alone, Chris makes    of the job per hour.


Hence, Kim makes  -  =  =   of the job per hour.


Hence, Kim will complete the job in   hours = 7 hours = 7 hours and 30 minutes.    ANSWER

Solved.

------------------

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.

RELATED QUESTIONS
Chris and Manny work together for 6 hours to landscape a yard before Chris has to leave... (answered by Edwin McCravy)

Working together, Butch and Manny can paint a wall in 3 hours. Working alone, Butch can... (answered by ptaylor)

Pat and Chris working together can carpet an average size room in 3 hours. Alone Pat can... (answered by )

A man can paint a room, working alone, in 5 hours. His wife can do the same job in 4... (answered by solver91311)

Working together, Adam and Chris can reseal a driveway in 6 hours. Working alone, Adam... (answered by mananth)

Andrew and paint a room in 6 hours. Marianne can do the sme job in 4 hours. Working... (answered by josgarithmetic)

working alone, Wade can paint a certain room in 9 hours. Phil, working alone, can paint... (answered by josmiceli)

Working alone, Phil can paint a certain room in 9 hours. Wade, working alone, can paint... (answered by richwmiller)

Phillip can clean a garage in 9 hours less time than his brother Chris. Working together, (answered by richwmiller)