Water is being transferred by a pump between two open tanks (from A to B) at a rate of $100 \mathrm{gpm}$. The pump receives the water from the bottom of tank A through a $3 \mathrm{in}$. sch 40 pipe and discharges it into the top of tank B through a 2 in. sch 40 pipe. The point of discharge into $\mathrm{B}$ is $75 \mathrm{ft}$ higher than the surface of the water in A. The friction loss in the piping system is $8 \mathrm{psi}$, and both tanks are $50 \mathrm{ft}$ in diameter. What is the head (in $\mathrm{ft}$ ) which must be delivered by the pump to move the water at the desired rate? If the pump is $70 %$ efficient, what horsepower motor is required to drive the pump?