SOLUTION: Pedro can paint a fence 50 % faster that Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if

Question 906534: Pedro can paint a fence 50 % faster that Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
o=Pedro
n=Juan
r=Pilar
1/o+1/n+1/r=1/x
o=1.2*r,
o=1.5*n,
n=o/1.5
o=1.2*r,
r=o/1.2
n=o/1.5
1/o+1/(o/1.5)+1/(o/1.2)=1/4
1/o+1.5/o+1.2/o=1/4
3.7/o=1/4
o=4*3.7
o=14.8
Pedro can paint alone in 14.8 hours

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