A pump is used to transport water at $72^{\circ} \mathrm{F}$ from tank A to tank B at a rate of $200 \mathrm{gpm}$. Both tanks are vented to the atmosphere. Tank A is $6 \mathrm{ft}$ above the ground with a water depth of $4 \mathrm{ft}$ in the tank, and tank B is $40 \mathrm{ft}$ above ground with a water depth of $5 \mathrm{ft}$ in the tank. The water enters the top of tank B, at a point $10 \mathrm{ft}$ above the bottom of the tank. The pipeline between the tanks contains $185 \mathrm{ft}$ of $2 \mathrm{in}$. Sch. 40 galvanized iron pipe, three standard elbows, and one gate valve.

(a) If the pump is $70 %$ efficient, what horsepower motor would be required to drive the pump?

(b) If the pump is driven by a $5 \mathrm{hp}$ motor, what is the maximum flow rate that can be achieved (in gpm)?