Compute by the rational method, the design flows for the pipes shown in the accompanying sketch: I$-1$ to M$-4,$ M$-4$ to M$-3,$ M$-3$ to M$-2,$ M$-2$ to M$-1,$ and M$-1$ to outfall. A$-1=2\mathrm{.}1$ acres, c$1=0\mathrm{.}5$; A$-2=3\mathrm{.}0$ acres, c$2=0\mathrm{.}4$; A$-3=4\mathrm{.}1$ acres, c$3=0\mathrm{.}7.$ Pipe flow times are I$-1$ to M$-3,1$ min, and M$-3$ to M$-1,1\mathrm{.}5$ min. Assume a $5-$minute time of concentration for Area A$-1$ and design for a $10-$year storm event.