SOLUTION: Jamie,Pria and Paul can paint a room together in 2 hours if Pria does the job alone she can paint the room in 5 hours.if Paul works alone.he can paint the room in 6 hours if Jamie

Question 1146953: Jamie,Pria and Paul can paint a room together in 2 hours if Pria does the job alone she can paint the room in 5 hours.if Paul works alone.he can paint the room in 6 hours if Jamie works alone,how long would it take her to paint the room.

Answer by ikleyn(52866) (Show Source): You can put this solution on YOUR website!
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Combined rate of work of the three persons is    of the job per hour.


Pria's rate of work is    of the job per hour.


Paul's rate of work is    of the job per hour.


Hence, Jamie's rte of work is   =  =  =   of the job per hour.


It means that Jamie will complete the job in  =  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 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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