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 ½ hours. How quickly can all three fill the pool t
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Question 331397: 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 ½ hours. How quickly can all three fill the pool together?
Found 2 solutions by scott8148, solver91311:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
they each fill some FRACTION of the pool based on their individual rates ___ the fractions sum to ONE (the whole pool)
(x / 30) + (x / 45) + (x / 90) = 1
3x + 2x + x = 90 ___ 6x = 90 ___ x = 15
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If A can do a job in x time periods, then A can do 
of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do 
of the job in 1 time period. And if C can do the same job in z time periods, then C can do 
of the job in 1 time period.
So, working together, they can do
of the job in 1 time period.
Therefore, they can do the whole job in:
time periods.
For your problem you have to make sure that everyone's contribution is described in the same time units, that is either say Tony does the job in 90 minutes, or Jim in 1/2 hour and Sue in 3/4 hour. One way you get an answer in terms of minutes for the three of them to do the whole job, and the other way in terms of hours to do the whole job -- but DO NOT mix units.
John
My calculator said it, I believe it, that settles it
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