A pump is transferring water from tank A to tank B, both of which are open to the atmosphere, at a rate of $200 \mathrm{gpm}$. The surface of the water in tank A is $10 \mathrm{ft}$ above ground level, and that in tank B is $45 \mathrm{ft}$ above ground level. The pump is located at ground level, and the discharge line that enters tank B is $50 \mathrm{ft}$ above ground level at its highest point. All piping is $2 \mathrm{in}$. ID, and the tanks are $20 \mathrm{ft}$ in diameter. If friction is neglected, what would be the required pump head rating for this application (in $\mathrm{ft}$ ), and what size motor (horsepower) would be needed to drive the pump if it is $60 %$ efficient? (Assume the temperature is constant at $77^{\circ} \mathrm{F}$.)