SOLUTION: working together , rick and jaunita can complete a job in 6 hrs. it would take rick 9 hrs longer than juanita to do the job alone. how long would it take juanita alone? what

Question 541124: working together , rick and jaunita can complete a job in 6 hrs. it would take rick 9 hrs longer than juanita to do the job alone. how long would it take juanita alone? what i did was x= the number of hours for juanita then i kind of set a chart juanita is : 1 and 1/x rick : x+9 and 1/x+9 together : is 6 hrs so 1/6 then i set a equation 1/x + 1/ x+9= 1/6 then i think we need lcd which i think is 6x(x+9) then i had trouble what to cross out. -thanks
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is correct for an equation
I prefer to say that I am going to multiply both sides of the equation by the expression by . (The calculations are the same, but avoid having to write all those denominators). On multiplying, we get

, which simplifies to
--> -->
Subtracting 12x+54 from both sides, we get
--> -->
That expression can be factored

The solutions to that equation are and , but since x must be positive, is the only solution to the problem.
It takes Juanita 9 hours to complete the job alone.
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