SOLUTION: Jessica can type a 50-page handout in 8 hours. If Jessica and Carol will work together, the 50-page handout will be finished in 6 hours. If Carol will work, alone how long will it

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Question 706647: Jessica can type a 50-page handout in 8 hours. If Jessica and Carol will work together, the 50-page handout will be finished in 6 hours. If Carol will work, alone how long will it take her to type the 50-page handout?
Answer by nerdybill(7384) About Me  (Show Source):
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Jessica can type a 50-page handout in 8 hours. If Jessica and Carol will work together, the 50-page handout will be finished in 6 hours. If Carol will work, alone how long will it take her to type the 50-page handout?
.
Let x = time (hours) it takes Carol alone
then
6(1/8 + 1/x) = 1
multiplying both sides by 8x:
6(x + 8) = 8x
6x + 48 = 8x
48 = 2x
24 hours = x