SOLUTION: 1) 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

Question 432043: 1) 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?
2) Is there a formula to solve these types of problems?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
1)If Steven can mix 20 drinks in 5 minutes, then he mixes 4 drinks per minute. Sue mixes 2 drinks per minute, and Jack mixes 4/3 drink per minute. Thus they can mix:
4+2+4/3=12+6+4/3=22/3 drinks per minute
To pour 20 drinks they need 20/22/3 minutes, or 60/22 or 30/11 minutes.
2)A formula might be Total Work/Cumulative work per unit equals time.
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