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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   



Question 156116: 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 oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Steven can mix 20 drinks in 5 minutes,then he mix 4 drinks in a minute
Sue can mix 20 drinks in 10 minutes,then he mix 2 drinks in a minute
Jack can mix 20 drinks in 15 minutes, then he mix 4/3 drinks in a minute
then in a minute working together they mix 4+2+4/3 drinks =22/3 drinks
then 22/3 = 1 minute
20 = x minutes
x=20/(22/3)=60/22=30/11

Answer: 30/11 minutes (aprox 2.73 minutes)