SOLUTION: alvin and resty can finish painting the room in two hours working together. Alvin can finish the same job in 3 hours lees than resty.How long will it take resty to paint the room w

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Question 1095686: alvin and resty can finish painting the room in two hours working together. Alvin can finish the same job in 3 hours lees than resty.How long will it take resty to paint the room when he works alone?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Their combined rate of work is  1%2F2  of the job per hour.

Alvin's individual rate of work is  1%2F3  of the job per hour.

Hence, Resty's individual rate of work is the difference  1%2F2 - 1%2F3 = 3%2F6 - 2%2F6 = 1%2F6  of the job per hour.


It means that Resty can complete the job in 6 hours working alone.

Solved.

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It is a 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.