A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine solution containing 1 Ib of salt per gallon is poured into the tank at the rate of 2 gal/min, while the well-stirred mixture leaves the tank at the same rate. Find (a) the amount of salt in the tank at any time t and (b) the time at which the mixture in the tank contains 5 Ib of salt.

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