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 457324: 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 josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Since they all have to mix 20 drinks, I can call
20 drinks 1 job
Let = time for all 3 working together
to mix 20 drinks
given:
Stephen's rate of working = (1 job) / (5 min)
Sue's rate = (1 job) / (10 min)
Jack's rate = (1 job) / (15 min)
Add their rates

Multiply both sides by




It will take them 2 minutes and 44 seconds to mix 20 drinks

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