SOLUTION: Matt and Elaine, together, can paint a room in 3h. It would take Matt 5h to paint the room alone, how Long would it take elain to paint the room alone?

Question 610989: Matt and Elaine, together, can paint a room in 3h. It would take Matt 5h to paint the room alone, how Long would it take elain to paint the room alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Matt and Elaine, together, can paint a room in 3h.
It would take Matt 5h to paint the room alone, how Long would it take elain to paint the room alone?
:
let x = time required by Elaine to do the job alone
Let the completed job = 1
:
A typical shared work equation
:
+ = 1
multiply by 5x
5x* + 5x* = 5x
cancel the denominators
3x + 5(3) = 5x
15 = 5x - 3x
x = 15/2
x = 7.5 hrs Elaine alone
:

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