SOLUTION: So I have to take a test in order to get into a specific college program and I've gone all the way to Calculus III/Linear Algebra but for the life of me can't remember the process
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Question 437809: So I have to take a test in order to get into a specific college program and I've gone all the way to Calculus III/Linear Algebra but for the life of me can't remember the process on solving this thing. I don't really care about the answer but more the step(s) to solve it. Thank you!
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 1.5 hours. How quickly can all three fill the pool together? Found 2 solutions by ankor@dixie-net.com, Alan3354:Answer by ankor@dixie-net.com(22740) (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 1.5 hours. (90 min)
How quickly can all three fill the pool together?
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Here is one method
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Let t = time required when working together
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Let the completed job = 1 (a full pool)
: + + = 1
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Multiply thru by 90, solve for t
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 1.5 hours. How quickly can all three fill the pool together?
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Don't try to remember how it's done, figure it out.
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Jim fills 1/30 of the pool per minute.
Sue fills 1/45 per minute.
Tony fills 1/90 per minute.
Together, they fill 1/30 + 1/45 + 1/90 per minute.
Go from there.
