SOLUTION: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 � hours. How quickly can all three fill the pool t

Question 263107: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 � hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes

Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x/30+x/45+x/90=1
3x+2x+x=90
6x=90
x=90/6=30/2=15
b) 15 minutes
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of filling the pool to get
their rate working together
Jim's rate = or one pool in 30 min
Sue's rate = or one pool in 45 min
Tony's rate = or one pool in 90 min
Let = time it takes for all 3 working together

Multiply both sides by

Working together, it takes them 15 min to fill the pool
The answer is B

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