SOLUTION: If you can paint a fence in 3 hours, and your friend can paint the same fence in 2 hours, how long will it take if you worked together?

Question 967825: If you can paint a fence in 3 hours, and your friend can paint the same fence in 2 hours, how long will it take if you worked together?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If you can paint a fence in 3 hours, and your friend can paint the same fence in 2 hours, how long will it take if you worked together?
:
let = time required when working together
let the completed job = 1 (a fully painted fence)
:
Each will do a fraction of the fence, the 2 fractions add up to 1
+ = 1
multiply by 6, cancel the denominators:
2t + 3t = 6
5t = 6
t = 6/5
t = 1.2 hrs working together
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