Posted by **L.S.** on Wednesday, December 14, 2011 at 10:37pm.

Two 100-gallon tanks initially contain pure water. Brine containing 2 lb of salt per gallon enters the first tank at the rate of 1 gal/min, and then the mixed solution drains into the second tank at the same rate. There, it is again thoroughly mixed and drains at the same rate, 1 gal/min.

Let S(t)=S(1)-S(2). Intuitively, S(t)>=0 for all t. At what time is the excess S(t) maximized? What is the maximum excess?

## Answer This Question

## Related Questions

- Calculus - A large tank is filled with 200 gallons of pure water. Brine ...
- calculus - 500-gallon tank initially contains 200 gallons of brine containing ...
- chemical calculations - Brine from a first tank runs into a second tank at 2 ...
- Calculus - Two full 48-gallon tanks begin draining at t = 0. Tank Alpha's volume...
- CALC - A 200-gallon tank is currently half full of water that contains 50 pounds...
- Calculus - A tank contains 2920 L of pure water. A solution that contains 001 kg...
- linear - Suppose that we have a system consisting of two interconnected tanks, ...
- linear algebra - Suppose that we have a system consisting of two interconnected ...
- math - Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while ...
- Differential Equations - A tank originally contains 5 lb of salt dissolved in ...

More Related Questions