SOLUTION: A water faucet fills a sauna tub in six minutes. The sauna tub drains empty at a slower rate than the faucet fills the tub. It takes 10 minutes to fill the sauna tub with the drain
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-> SOLUTION: A water faucet fills a sauna tub in six minutes. The sauna tub drains empty at a slower rate than the faucet fills the tub. It takes 10 minutes to fill the sauna tub with the drain
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Question 1117710: A water faucet fills a sauna tub in six minutes. The sauna tub drains empty at a slower rate than the faucet fills the tub. It takes 10 minutes to fill the sauna tub with the drain open. At what rate does the water drain? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A water faucet fills a sauna tub in six minutes. The sauna tub drains empty at a slower rate than the faucet fills the tub. It takes 10 minutes to fill the sauna tub with the drain open. At what rate does the water drain?
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r = drain rate
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The faucet fills 1/6 of the tub per minute
The drain drains 1/r tub/minute.
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1/6 + 1/r = 1/10
Multiply by 60r
10r + 60 = 6r
4r = -60
r = 15 minutes ---- negative because it flows out.
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Using 1/6 - 1/r = 1/10 gives +15 minutes.
