<PRE><B>Question 49855</B>
Joe and Sue make 20 drinks in 5 minutes. Sue can make 20 in 10 minutes. Joe can make 20 in fifteen minutes, if they work together how long will it take?
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Sue DATA:
Time to make 20= 10 min ; Rate = (1/10) job/min

Joe DATA:
Time to make 20= 15 min ; Rate = (1/15) job/min

Together DATA:
Time to make 20= x min  : Rate = (1/x) job/min

EQUATION:
rate + rate = rate together
1/10 + 1/15 = 1/x
25/150=1/x
25x=150
x=6 minutes (amount of time required working together)

Cheers,
Stan H.
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