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

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Question 63430: 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) (Show Source):
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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 x = time required when they all work together
Let the completed job (20 drinks) = 1
:
= 1
:
Mult eq by 30 to get rid of the denominator, resulting in:
6x + 3x + 2x = 30
11x = 30
x = 30/11
x = 2.73 min or 2 min 43.6 seconds