SOLUTION: I need help with this question? 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 qu

Question 351219: I need help with this question?
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?
Answer by stanbon(75887) (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?
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Jim rate: 1/(1/2) = 2 jobs/hr
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Sue rate: (1/(3/4)) = (4/3) jobs/hr
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Tony rate = 1/(3/2) = 2/3 job/hr
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Together rate: 1/x jobs/hr
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Equation:
rate + rate + rate = together rate
2 + 4/3 + 2/3 = 1/x
----
Multiply thru by 3x to get:
6x + 4x + 2x = 3
12x = 3
x = 1/4 hr.
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Cheers,
Stan H.
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