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 pool

Question 291755: 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?
I have the answer sheet but I have no idea how to solve this problem! Please show me how it's done! thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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?
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Use the inverses, pools filled per hour, then you can add them.
Jim does 1/30 of the pool per minute.
Sue does 1/45
Tony does 1/90
Together, 1/30 + 1/45 + 1/90 = 3/90 + 2/90 + 1/90 = 6/90 = 1/15
1/15 of a pool per minute --> 15 mins per pool

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