PROBLEM. $2$

I need solution with steo by step,

Find the discharges in the pipes of the pump$-$pipeline system given in the figure. Neglect all kinds of minor $($local$)$ losses. All pipes have same $($identical$)$ diameter of $20$ cm and William$-$Hazen friction factor of $C=100.$ Note that $h_f=\frac{L}{(0\mathrm{.}279C{)}^{103}}\frac{1}{D^{+07}}{Q}^{1\mathrm{.}85}.$ The characteristics of the pump $1(P_1)$ and pump $2(P_2)$ are given in the table provided below.

$\backslash$table$[[$Q $($It$/$s$),0,10,20,30,40,50,60,70],[Hpt(m),50,47,43,38,32,22,10,0],[Hp2(m),60,56,51,46,40,31,20,10]]$