SOLUTION: working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?

Question 914771: working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone?
***
let x=time juanita can do the job alone
1/x=her work rate
x+9=time rick can do the job alone
1/(x+9)=his work rate
6 hrs=time rick and juanita can finish the job working together
1/6=their work rate
..
sum of indv work rates=work rate working together

lcd:x(x+9)
x+9+x=x(x+9)/6
12x+54=x^2+9x
x^2-3x-54=0
(x+6)(x-9)=0
x=9
time juanita can do the job alone=9 hrs
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