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Let x= amount of time it takes all three working together to mix 20 drinks
Steven mixes drinks at the rate of 20/5 or 4 drinks per min
Sue mixes drinks at the rate of 20/10 or 2 drinks per min
Jack mixes drinks at the rate of 20/15 or 1 1/3=4/3 drinks per min
Together, the three mixes drinks at the rate of 4+2+4/3 drinks per min or:
12/3 + 6/3 +4/3 = 22/3 drinks per min. So or equation to solve is:
(22/3)x=20 multiply each side by 3
22x=60 divide each side by 22
x=2.73 min------------------------------------ans
CK
Steven: 4*2.73=10.9 drinks
Sue: 2*2.73=5.46 drinks
Jack: (4/3)*2.73=3.64 drinks
10.9+5.46+3.63=20
20=20
Hope this helps--ptaylor
