SOLUTION: George and Cindy together can stock the shelves of the local market in 5 hours. When she works alone, it takes Cindy 1 hour longer to stock than it takes George working alone. Abou

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Question 971620: George and Cindy together can stock the shelves of the local market in 5 hours. When she works alone, it takes Cindy 1 hour longer to stock than it takes George working alone. About how long does it take George to stock the shelves?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
George and Cindy together can stock the shelves of the local market in 5 hours. When she works alone, it takes Cindy 1 hour longer to stock than it takes George working alone. About how long does it take George to stock the shelves?
***
let x=time it takes George to stock the shelves working alone
1/x=his work rate
x+1=time it takes Cindy to stock the shelves working alone
1/(x+1)=her work rate
5=time it takes Cindy and George working together to stock the shelves.
1/5=their work rate
sum of indv. work rates=work rate working together
..
1%2Fx%2B1%2F%28x%2B1%29=1%2F5
lcd: 5x(x+1)
5(x+1)+5x=x(x+1)
5x+5+5x=x^2+x
x^2-9x-5=0
solve for x by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-9, c=-5
ans:
x=9.52
About how long does it take George to stock the shelves? 9.5 hrs