$($b$)$ Consider the distribution loop in Figure Q$4$b below. Data pertaining to the pipes in the loop are given in Table Q$4$b:

Table Q$4$b

The discharge entering the system at point A is $\backslash (100\backslash$mathrm$\{$I$\}/\backslash$mathrm$\{$s$\}\backslash )$ and this meets the demands at B of $\backslash (50\backslash$mathrm$\{$l$\}/\backslash$mathrm$\{$s$\}\backslash )$ and C of $\backslash (50\backslash$mathrm$\{$I$\}/\backslash$mathrm$\{$s$\}\backslash ).$

$($i$)$ Calculate the flow in each pipe

$($ii$)$ Determine the pressure heads at B and C if A is supplied at a pressure head of $100$ m $.$