A pump takes water from a reservoir and delivers it to a water tower. The water in the tower is at atmospheric pressure and is $120 \mathrm{ft}$ above the reservoir. The pipeline is composed of $1000 \mathrm{ft}$ of 2 in. Sch. 40 pipe containing 32 gate valves, 2 globe valves, and 14 standard elbows. If the water is to be pumped at a rate of $100 \mathrm{gpm}$ using a pump that is $70 %$ efficient, what horsepower motor is required to drive the pump?