<PRE><B>Question 891568</B>
Charlie can paint a house in 16 hours. He hires a partner so that working together they can paint a house in 10 hours. If charlie gets ill, how long will it take his partner to paint the house by himself?
.
Let x = time (hours) it takes for partner alone
then
10(1/16 + 1/x) = 1
multiplying both sides by 16x we get:
10(x + 16) = 16x
10x + 160 = 16x
160 = 6x
160/6 = x
26.667 = x
or
26 hours and 40 minutes = x (answer)
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