Questions:

1. Alisha, in a hurry to take a bath, turned on the water and forgot to close the drain. Under normal conditions (the drain closed), it takes 8 minutes to fill the tub and 10 minutes to drain it, once the water is turned off. If Alisha never closed the drain, how long would it have taken for the tub to fill?
   
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2. Corey, Alisha’s neighbor, has a tub that fills in 10 minutes and takes 12 minutes to drain. Leaving the drains open, whose tub takes longer to fill, and by how much?
   
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3. Using the interactive application, what is the fastest time it will allow you to set to fill the tub and have the drain open? Adjust the settings for the faucet and the drain until you get the fastest time using both.
   
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4. Alisha has a plumber change the faucet on the tub so that the water comes out faster. Now the tub will fill in 5 minutes, but it still drains in 10 minutes. If she tried to fill the tub while the drain was open, how long would it take for the tub to fill?
   
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