Consider the pump$-$Pipeline system shown in Figure below where the pump characteristics are at a

totational seed of $2000$ rpm$.$ The reservoir water surface elevations are given as: $EA=120ft$ and

$EB=250$ ft$.$ The $20$ ft diameter pipe connecting the :wo eservoirs has a length of $15\mathrm{.}200$ ft $.$ and a

Hazen$-$Williams coefficient $($Chw$)$ of $140.$ The pump characteristics $($columns $1$ and $2$ in the table

below$)$ are ploted in the attached figure below. Determine the discharge in the pipeline, the

velocity of flow, and the energy grade line.