SOLUTION: Fran can write a computer program in 9 days. If Doug helps her, they can write the program in 6 days. How long would it take Doug to write the program by himself?

Question 610665: Fran can write a computer program in 9 days. If Doug helps her, they can write the
program in 6 days. How long would it take Doug to write the program by himself?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Fran can write a computer program in 9 days. If Doug helps her, they can write the
program in 6 days. How long would it take Doug to write the program by himself?
.
Let x = time (days) it takes for Doug alone
then
6(1/9 + 1/x) = 1
multiplying both sides by 9x:
6(x + 9) = 9x
6x + 54 = 9x
54 = 3x
18 days = x

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