Consider the following two pipes segments:

Pipe $1$: $450-$m long, $250-$mm diameter, and a friction factor of $0\mathrm{.}020$

Pipe $2$: $300-$m long, $200-$mm diameter, and a friction factor of $0\mathrm{.}025$

Ignoring all local losses, determine the flow $($Q$1$ and Q$2$ in m$3/$s$)$ and the head loss $($hL$1$

and hL$2$ in m$)$ in both pipes if:

a$)$ The two pipes are in series and the total head loss $($from upstream to downstream$)$

is $25$ m

b$)$ The two pipes are in parallel and the total head loss $($from upstream to

downstream$)$ is $25$ m