A pipe system contains two brunches $($ A and $B)$ in parallel, as shown in the figure below. Branch A contains a partially closed valve with a loss coefficient of $0\mathrm{.}2.$ Branch $B$ has a pipe cross$-$sectional area that is twice that of branch A and contains a partially closed valve with a loss coefficient of $10.$ For this system, the head losses through the partially elosed valves are much large than the other minor losses $($elbows$,$ junction, ete.$)$ and the pipe friction losses. If the flow in pipe B is $0\mathrm{.}566f\frac{t^3}{s},$ what is the flow in pipe $A?$