A tank initially contains $125$ kg of water. At this time, a feed stream enters the tank with a mass flow rate of mi$=0\mathrm{.}5$ e$^-0\mathrm{.}010$t$,$where mi is in kg$/$ min and t is time in minutes. At the same time $,$an outlet stream with mo$=0\mathrm{.}4$ kg$/$min exits the tank,when the maximum water appears in the tank?