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?

A. 2 minutes and 44 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
E. 4 minutes and 15 seconds

Steve --> 4 drinks/min or .25 min/drink

Sue-----> 2 drinks/min or .50 min/drink
Jack ---> 4/3 drinks/min, .75 min/drink
All together they can mix 4+2 + 4/3 = 22/3 drinks per min or 3/22 min/drink
3/22 min/drink * 20 drinks = 2.73 minutes