A mud slurry is being drained from a tank through a $50 \mathrm{ft}$ long plastic hose. The hose has an elliptical cross section with a major axis of $4 \mathrm{in}$. and a minor axis of $2 \mathrm{in}$. The open end of the hose is $10 \mathrm{ft}$ below the level in the tank. The mud is a Bingham plastic, with a yield stress of $100 \mathrm{dyn} / \mathrm{cm}^{2}$, a limiting viscosity of $50 \mathrm{cP}$, and a density of $1.4 \mathrm{~g} / \mathrm{cm}^{3}$.

(a) At what rate will the mud drain from the hose, in gpm?

(b) At what rate would water drain through the hose?