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 1/2 hours. How quickly can all three fill the p

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Question 41757: 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 1/2 hours. How quickly can all three fill the pool together?
How do you solve this?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Compared to hours:
Jim's rate: (1/2)
Sue's rate: (3/4)
Tony's rate: (3/2)
Rate * Time = Work
%28t%2F2%29+%2B+%283t%2F4%29+%2B+%283t%2F2%29=+1
4%28t%2F2%29+%2B+4%283t%2F4%29+%2B+4%283t%2F2%29+=+1%284%29
2t+%2B+3t+%2B+6t+=+4
11t+=+4
t+=+4%2F11
(4/11)(60) =
about 22 minutes