The pipe system shown in the figure below connects two reservoirs that have an elevation difference of $20$ m $.$ The pipe system consists of $200$ m of $\backslash (50-\backslash$mathrm$\{$cm$\}\backslash )$ concrete pipe $($pipe A$),$ that branches into $400$ m of $\backslash (20-\backslash$mathrm$\{$cm$\}\backslash )$ pipe $($pipe B$)$ and $400$ m of $\backslash (40-\backslash$mathrm$\{$cm$\}\backslash )$ pipe $($pipe C$)$ in parallel. Pipes B and C join into a single $\backslash (50-\backslash$mathrm$\{$cm$\}\backslash )$ pipe that is $500$ m long $($pipe D $).$ For $\backslash ($ f$=\backslash )0\mathrm{.}030$ in all the pipes, what is the flow rate in each pipe of the system? Neglect all minor losses.