SOLUTION: one painter can paint a house in 12 hours, and the second panter can paint a house in 8 hours. how long would it take them to paint the house together?

Question 612503: one painter can paint a house in 12 hours, and the second panter can paint a house in 8 hours. how long would it take them to paint the house together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
one painter can paint a house in 12 hours, and the second panter can paint a house in 8 hours. how long would it take them to paint the house together?
.
Let x = time (hours) for both together
then
x(1/12 + 1/8) = 1
multiply both sides by 24:
x(2 + 3) = 24
x(5) = 24
x = 24/5
x = 4.8 hours
or
x = 4 hours and 48 minutes

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