A $0\mathrm{.}75-m\frac{O}{?}$ pipe $1162m$ long carrying $2\mathrm{.}4\frac{m^3}{s}$ of water

branches into $2$ pipes $450-mm\frac{O}{?}$ and $600mm\frac{O}{?}$ at junction

A$.$ The $450mm$ pipe is $1254m$ long and the $600mm$ one

is $1186m.$ They come together at junction B and continue

as a single pipe $750mm$ in diameter and $866m$ long.

Assuming the values of $"f"$ are $0\mathrm{.}017,0\mathrm{.}019,0\mathrm{.}020$

respectively for the $750,600,$ and $450mm$ pipe:

a$.$ What is $Q$ in the $450mm$ pipe? $0\mathrm{.}758\frac{m^3}{s}$

b$.$ What is $Q$ in the $600mm$ pipe? $1\mathrm{.}642\frac{m^3}{s}$

c$.$ What is the pressure head at junction $B$ if the

pressure at $A$ is $116m?$: $51\mathrm{.}5m$