Asked by jessica
Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains
x(t)
pounds of salt in 200 gallons of brine, and tank B contains
y(t)
pounds of salt in 300 gallons of brine. The mixture in each tank is kept uniform by constant stirring. When t = 0, brine is pumped from tank A to tank B at 20 gallons/minute and from tank B to tank A at 20 gallons/minute. Find the amount of salt in each tank at time t if x(0) = 10 and y(0) = 40.
x(t)
pounds of salt in 200 gallons of brine, and tank B contains
y(t)
pounds of salt in 300 gallons of brine. The mixture in each tank is kept uniform by constant stirring. When t = 0, brine is pumped from tank A to tank B at 20 gallons/minute and from tank B to tank A at 20 gallons/minute. Find the amount of salt in each tank at time t if x(0) = 10 and y(0) = 40.
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