SOLUTION: Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar. Together they can paint a given fence in 4 hr. How long would it take Pedro paint the same fence if he had

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Question 255308: Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar. Together they can paint a given fence in 4 hr. How long would it take Pedro paint the same fence if he had work alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar.
Together they can paint a given fence in 4 hr.
How long would it take Pedro paint the same fence if he had work alone?
:
let t = time required by Pedro alone
then
1.5t = time required by Juan
and
1.2 = time required by Pilar
:
Let the completed job = 1
:
4%2Ft + 4%2F%281.5t%29 + 4%2F%281.2t%29 = 1
Multiply equation by 6t, results
6(4) + 4(4) + 5(4) = 6t
24 + 16 + 20 = 6t
60 = 6t
t = 60%2F6
t = 10 hrs for Pedro
1.5(10) = 15 hrs for Juan
1.2(10) = 12 hrs for Pilar
;
:
Check solution on a calc:
4%2F10 + 4%2F15 + 4%2F12 = 1