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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   



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) About Me  (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) About Me  (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 4%2F3 (20%2F15) drinks in 1 minute

Working together, the 3 can mix 22%2F3 drinks in 1 minute, and 20 drinks in 60%2F22 mins, or 2.73 minutes, or highlight_green%282+minutes+44+seconds%29.