SOLUTION: If there is a bathtub with 3 faucets and the first faucet fills the tub up in fifteen mins. the second faucet fills the tub in thirty mins and the fourth fills it in forty five min
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Question 518800: If there is a bathtub with 3 faucets and the first faucet fills the tub up in fifteen mins. the second faucet fills the tub in thirty mins and the fourth fills it in forty five mins. if you turn all three faucets on at once how long will it take the tub to fill up? Found 2 solutions by mananth, stanbon:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Filling the tub is 1 job
Faucet I 15 minutes
It does 1/15 job in 1 minute
Faucet II 30 minutes
It does 1/30 of thejob in 1 minute
Faucet III 45 minutes
It does 1/45 of the job in 1 minute
Together they will do 1/15 + 1/30 + 1/45
Together they will do 11/90 of the job in one minute
they will take 90/11 minutes together
So they will take 8 1/6 minutes => 8.18 minutes
m.ananth@hotmail.ca
You can put this solution on YOUR website! If there is a bathtub with 3 faucets and the first faucet fills the tub up in fifteen mins. the second faucet fills the tub in thirty mins and the fourth fills it in forty five mins. if you turn all three faucets on at once how long will it take the tub to fill up?
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1st faucet rate = 1/15 job/min
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2nd faucet rate = 1/30 job/min
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3rd faucet rate = 1/45 job/min
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Together rate = 1/x job/min
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Equation:
rate + rate + rate = together rate
1/15 + 1/30 + 1/45 = 1/x
Multiply thru by 90x to get:
6x + 3x + 2x = 90
11x = 90
x = 90/11 = 8.18 minutes (together time to fill the tub)
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Cheers,
Stan H.
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