SOLUTION: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jake can mix 20 drinks in 15 minutes, how much time will it take all 3 of them to mix 20 drinks i

Question 203159: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jake can mix 20 drinks in 15 minutes, how much time will it take all 3 of them to mix 20 drinks if they work together?
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
I coverted to the number of drinks per minute for each then solved.
Steve=.25 per minute
Sue=2 per minute
Jake=1.3333 per minute
.25x+2x+1.3333x=20
3.58333x=20
x=6 minutes for 20 drinks
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
Since Steven can mix 20 drinks in 5 minutes, then he can mix 4 (20/5) drinks in 1 minute

Since Sue can mix 20 drinks in 10 minutes, then she can mix 2 (20/10) drinks in 1 minute

Since Jake can mix 20 drinks in 15 minutes, then he can mix () drinks in 1 minute

Working together, the 3 can mix drinks in 1 minute, and 20 drinks in mins, or 2.73 minutes, or .

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