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?

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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) About Me  (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
:
t%2F75+%2B+t%2F60+%2B+t%2F80 = 1
:
multiply by 1200 to clear the denominators, results:
16t + 20t + 15t = 1200
51t = 1200
t = 1200%2F51
t = 23.53 min all working together