A batch dryer removes water from a solid at a rate of $30$ kg$/$ hr during the constant rate period. Critical moisture content is $0\mathrm{.}25$ kg H$2$O$/$kg dry solid. The equilibrium moisture content of the material is $0\mathrm{.}035$ kg H$2$O$/$kg dry solid. The dryer is initially charged with $750$ kg of total material contains $200$ x $103$ g moisture. The final product should contain $0\mathrm{.}08$ kg H$2$O$/$kg dry solid. The falling rate period can be represented by a straight line. The drying area is $5$ m$2.$

Find the total time needed to dry the material?