Question

A large tank contains 800 gal of water in which 42 lb of salt are dissolved....

A large tank contains 800 gal of water in which 42 lb of salt are dissolved. Brine
containing 2 lb of of dissolved salt per gal is pumped into the tank at a rate of
4 gal per minute, and the mixture, kept uniform by stirring, is pumped out at
the same rate.
(a) Find the amount x(t) of salt in the tank, at time t.
(b) How long will it take for the amount of salt in the tank to become 60 lb?

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