SOLUTION: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together t

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Question 242517: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
:
Let t = time required all working together
:
Let the completed job = 1 (Mixing of 20 drinks)
:
A shared work equation:
t%2F5 + t%2F10 + t%2F15 = 1
Multiply by 30, results
6t + 3t + 2t = 30
:
11t = 30
t = 30%2F11
t = 2.73 minutes working together
:
:
Check solution on a calc;
enter (2.73/5) + 2.73/10) + (2.73/15) = 1.00; confirms our solution