SOLUTION: Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 4 hours. Chris can paint the same house in 3 hours. The three working together can paint the house in 1 hour. Ho

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Question 1168983: Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 4 hours. Chris can paint the same house in 3 hours. The three working together can paint the house in 1 hour. How many hours does it take Lexi to paint the house?
Answer by ikleyn(52874)   (Show Source): You can put this solution on YOUR website!
.

The combined rate of work for three participants is 1 job per hour.


The combined rate of work for Cyntia and Chris is   =   of the job per hour.


Hence, the Lexi's individual rate of work is the difference   =   of the job per hour.


It means that Lexi will complete the job in   hours = 2  hours = 2 hours and 24 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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