SOLUTION: Tanya and Cam can each wash a car and vacuum its interior in 2 hours Pat needs 3 hours to do this same job by himself if Pat,Cam and Tanya work together,how long will it take them

Question 1146956: Tanya and Cam can each wash a car and vacuum its interior in 2 hours Pat needs 3 hours to do this same job by himself if Pat,Cam and Tanya work together,how long will it take them to clean a car?

Answer by ikleyn(52928) (Show Source): You can put this solution on YOUR website!
.


Tanya makes    of the job per hour.


Cam   makes    of the job per hour.


Pat   makes    of the job per hour.


Working together, they make   +  +  =  =  =   of the job per hour.


It means that they will complete the job in    of an hour, ot in 45 minutes, working together.    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
    - Joint-work problems for 3 participants

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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