Applied Hydraulics #$4\mathrm{.}3\mathrm{.}2.$

Determine flow rates in the branching pipe system depicted in Figure P$4\mathrm{.}3\mathrm{.}2$ given the following water surface $($WS$)$ elevation and pipe data $($lengths and diameters$)$ in the table below. All of the pipes are lined ductile iron $($DIP$,e=0\mathrm{.}0004ft)$ and the temperature of the water is $68F.$ Also determine the elevation of the junction $(J)$ if the pressure head $(\frac{P_J}{})$ at the junction measured by a piezometer $($height from $J$ to $H_J)$ is $30ft.$