What horsepower pump would be required to transfer water at a flow rate of $100 \mathrm{gpm}$ from tank A to tank B, if the liquid surface in tank A is $8 \mathrm{ft}$ above ground and that in tank B is $45 \mathrm{ft}$ above ground? The piping between tanks consists of $150 \mathrm{ft}$ of $1 \frac{1}{2} \mathrm{in}$. Sch. 40 pipe and $450 \mathrm{ft}$ of $2 \mathrm{in}$. Sch. 40 pipe that includes 16 standard elbows and 4 open globe valves.