Question 64775: I am studying for the TEAS Test for my nursing program and there are several questions similar to this. I know there has to be a simple formula but I can't figure it out. Thank You.
If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 min, and Jack can mix 20 drinks in 15 min, how much time will it take all 3 of them working together to mix the 20 drinks?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 min, and Jack can mix 20 drinks in 15 min, how much time will it take all 3 of them working together to mix the 20 drinks?
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Sue DATA:
Rate = 20 drinks/10 min
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Jack DATA;
Rate = 20 drinks/15 min
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Steven DATA:
Rate= 20 drinks/5 min
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Let "x" be the number of minutes need for the three to mix 20 drinks:
EQUATION:
x(Sue Rate + Jack Rate + Steven Rate) = 20 drinks
x min(20d/10min + 20d/15min +20d/5min)= 20d
x(2+(4/3)+4)=20
x(22/3)=20
x=60/22
x=30/11
x=2 8/11 minutes or x=2.7272... minutes
Cheer,
Stan H.
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