SOLUTION: A master painter can do a job in 5 hours, while his apprentice can do the same in 7 hours. How long will it take them to do the job if they work together?
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Question 557334:  A master painter can do a job in 5 hours, while his apprentice can do the same in 7 hours. How long will it take them to do the job if they work together?
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Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
 A master painter can do a job in 5 hours, while his apprentice can do the same in 7 hours. How long will it take them to do the job if they work together? 
.
Let x = time (hours) it takes for both
then
x(1/5 + 1/7) = 1
multiplying both sides by 35:
x(35/5 + 35/7) = 35
x(7 + 5) = 35
x(12) = 35
x = 35/12 
x = 2.92 hours
 
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