SOLUTION: Jose can paint a house in 10 days and peter can paint the same house in 12 days . how long will it take to paint the house if both men work ?

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Question 349112: Jose can paint a house in 10 days and peter can paint the same house in 12 days . how long will it take to paint the house if both men work ?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Jose can paint a house in 10 days and peter can paint the same house in 12 days . how long will it take to paint the house if both men work ?
.
Let x = time (hours) it takes if both men work
then
x(1/10 + 1/12) = 1
Multiplying both sides 120:
x(12 + 10) = 120
x(22) = 120
x = 120/22
x = 5.455 hours
or
x = 5 hours and 27 minutes