SOLUTION: It takes Jon 75 minutes to paint a room. It takes Jeff 60 minutes and Jackie 80 minutes each to paint the same room. How long will the painting take if all three work together?

Question 450436: It takes Jon 75 minutes to paint a room. It takes Jeff 60 minutes and Jackie 80 minutes each to paint the same room. How long will the painting take if all three work together?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It takes Jon 75 minutes to paint a room.
It takes Jeff 60 minutes and Jackie 80 minutes each to paint the same room.
How long will the painting take if all three work together?
:
Let t = time required when all work together
Let the completed job = 1
:
A typical shared work equation
:
= 1
:
multiply by 1200 to clear the denominators, results:
16t + 20t + 15t = 1200
51t = 1200
t =
t = 23.53 min all working together
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