SOLUTION: Together an experienced word processor and an apprentice word processor can create a word document in 6 hours. Alone, the experienced word processor can create the word document 2

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Question 873831: Together an experienced word processor and an apprentice word processor can create a word document in 6 hours. Alone, the experienced word processor can create the word document 2 hours faster than the apprentice word processor can. Find the time in which each person can create the word document alone
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Together an experienced word processor and an apprentice word processor can create a word document in 6 hours.
Alone, the experienced word processor can create the word document 2 hours faster than the apprentice word processor can.
Find the time in which each person can create the word document alone
:
Let x = time required by a processor working alone
then
(x+2) = time required by an apprentice processor alone
:
Let the completed job = 1
:
A shared work equation
6%2Fx + 6%2F%28%28x%2B2%29%29 = 1
multiply by x(x+2), cancel the denominators, leaving:
6(x+2) + 6x = x(x+2)
6x + 12 + 6x = x^2 + 2x
12x + 12 = x^2 + 2x
0 = x^2 + 2x - 12x - 12
x^2 - 10x - 12 = 0
Won't factor, use the quadratic formula to find x
I got a positive solution of 11.08 hrs for the processor