SOLUTION: Pat paints a house in 4 hrs. Mary paints a house in 6 hrs. How many hours does it take to paint house if the both oaint it together?

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Question 612656: Pat paints a house in 4 hrs.
Mary paints a house in 6 hrs.
How many hours does it take to paint house if the both oaint it together?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Pat paints a house in 4 hrs.
Mary paints a house in 6 hrs.
How many hours does it take to paint house if the both oaint it together?
.
Let x = time (hours) it takes for both
then
x(1/4 + 1/6) = 1
multiplying both sides by 12:
x(3 + 2) = 12
x(5) = 12
x = 12/5
x = 2.4 hours
or
x = 2 hours and 24 minutes