Oneiromancy
New member
- Joined
- Sep 28, 2007
- Messages
- 21
The information:
Your swimming pool, containing 60,000 gal of water, has been contaminated by 5 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return the water to the pool at a flow rate of 200 gal/min.
Write down the initial value problem for the filtering process; let q(t) be the amount of dye (in grams) in the pool at any time t (in minutes).
The answer the book gave me was q' = -(1/300)t. That doesn't seem right because it doesn't say anything about the dye. Where does the 5000 g of dye come into play?
Your swimming pool, containing 60,000 gal of water, has been contaminated by 5 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return the water to the pool at a flow rate of 200 gal/min.
Write down the initial value problem for the filtering process; let q(t) be the amount of dye (in grams) in the pool at any time t (in minutes).
The answer the book gave me was q' = -(1/300)t. That doesn't seem right because it doesn't say anything about the dye. Where does the 5000 g of dye come into play?