Use the Hardy Cross method to determine $($a$)$ the flow rate in each pipe and $($b$)$ the headloss from $A$ to $F$ in the network shown in Figure $12\mathrm{.}6\mathrm{.}3.$ Each pipe has a Hazen Williams coefficient, $C=140.$

Figure $12\mathrm{.}6\mathrm{.}3$ Pipe network for Example $12\mathrm{.}6\mathrm{.}1.$