<PRE><B>Question 631022</B>
Christopher can paint his house in 66 hrs. If he hires cynthia to help him they can do the same job together in 54hrs. If he lets cynthia work alone, how long will it take her to paint the house?
.
Let x = time (hours) it takes Cynthia to work alone
then
54(1/66 + 1/x) = 1
54(x + 66) = 66x
54x + 3564 = 66x
3564 = 12x
297 hours = x
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