SOLUTION: When working alone, Bob takes 3 hours longer then Janet to paint a certain size room. When working together, Bob and Janet can do the job in 2 hours. Calculate how long it takes

Question 734821: When working alone, Bob takes 3 hours longer then Janet to paint a certain size room. When working together, Bob and Janet can do the job in 2 hours. Calculate how long it takes each of them to individually paint the room
I'm just completely lost on how to set it up.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Janet's time in hours to paint room
= Bob's time in hours to paint room
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Janet's rate of working is ( 1 room painted ) / ( t hrs )
Bob's rate of working is ( 1 room painted ) / ( t + 3 hrs )
Their rate working together is ( 1 room painted ) / ( 2 hrs )
Add individual rates of working to get their
rate working together
--------------

Multiply both sides by

( ignore the negative time )

Janet's time is 3 hrs to paint room
Bob's time is 6 hrs hours to paint room
check:

OK

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