SOLUTION: onjon can do the job in 8 hours. His brother Paul can do the same job in 20 hours. The brothers can do the job together with Paul working one and a half times as long as Jonjon. Ho

Question 354084: onjon can do the job in 8 hours. His brother Paul can do the same job in 20 hours. The brothers can do the job together with Paul working one and a half times as long as Jonjon. How long will each other work to do the job together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Jonjon can do the job in 8 hours. His brother Paul can do the same job in 20 hours. The brothers can do the job together with Paul working one and a half times as long as Jonjon. How long will each other work to do the job together?
.
Let x = time Jonjon works
then
1.5x = time Paul works
.
x(1/8) + 1.5x(1/20) = 1
Multiply both sides by 40:
.
x(5) + 1.5x(2) = 40
5x + 3x = 40
8x = 40
x = 5 hours (time Jonjon works)
.
Paul:
1.5x = 1.5(5) = 7.5 hours
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