SOLUTION: taylor can paint a room in twelve hours. Jennifer can paint the room in ten hours. How long does it take for both taylor and jennifer to paint the room if they are working together

Question 465648: taylor can paint a room in twelve hours. Jennifer can paint the room in ten hours. How long does it take for both taylor and jennifer to paint the room if they are working together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
taylor can paint a room in twelve hours. Jennifer can paint the room in ten hours. How long does it take for both taylor and jennifer to paint the room if they are working together?
.
Let x = time (hrs) for both
then
x(1/12 + 1/10) = 1
multiplying both sides by 120:
x(10 + 12) = 120
x(22) = 120
x = 120/22
x = 5.455 hours
or
x = 5 hours and 27 minutes
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