SOLUTION: Lynn can paint room in 40 min. Jeff in 60 min. How long if both paint together? Not sure what type of problem this is. fxn?

Question 306164: Lynn can paint room in 40 min.
Jeff in 60 min.
How long if both paint together? Not sure what type of problem this is. fxn?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Lynn can paint room in 40 min .Jeff in 60 min. How long if both paint together?
:
This is a typical shared work problem.
:
Let t = time required when they work together (in minutes)
:
Let the completed job = 1 (a painted room)
;
Each person will paint a fraction of the room, the two fractions add up to 1
:
+ = 1
We can clear the fractions by multiplying 120, resulting in:
3t + 2t = 120
:
5t = 120
t =
t = 24 minutes working together
:
:
We can prove that
+ = 1
reduce the fractions
+ = 1
:
:
This is a good method for most shared work problems.

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