A patrol boat is powered by a water jet pump engine. The engine takes water in through a $3 \mathrm{ft}$ diameter duct in the bow and discharges it through a $1 \mathrm{ft}$ diameter duct in the stern. The drag coefficient of the boat has a value of 0.1 based on a total underwater area of $1500 \mathrm{ft}^{2}$. Calculate the pump capacity in gpm and the engine horsepower required to achieve a speed of $35 \mathrm{mph}$, neglecting friction in the pump and ducts.