SOLUTION: Ralph paints a room in k hours, Jenny paints the room in m hours. Jenny takes two more hours to paint than Ralph. Together they can paint in 8 hours. How many hours can each pai

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Question 1089967: Ralph paints a room in k hours, Jenny paints the room in m hours. Jenny takes two more hours to paint than Ralph. Together they can paint in 8 hours. How many hours can each paint the room on their own.
Found 3 solutions by jhunjiro, MathTherapy, Fombitz:
Answer by jhunjiro(67)   (Show Source): You can put this solution on YOUR website!

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Ralph paints a room in k hours, Jenny paints the room in m hours. Jenny takes two more hours to paint than Ralph. Together they can paint in 8 hours. How many hours can each paint the room on their own. 
Correct answer: By themselves,  

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
 Rate x Time = Output 

.

.

.

Let's say that an output of 100 is required for the room to be painted (this number is arbitrary).





.

.







and



and

















Completing the square,









Only positive values of k are acceptable for this problem.

So then,







 

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