Problem $4$: Solve Problem $3$ using the TR$-55$ method, assume Type II rainfall distribution and $20-$year return period. The $24-$hour rainfall amount for the design return period is $4\mathrm{.}3$ inches. $[10]$ Hint: CN values for each surface type are given. Find the weighted average CN value, and the runoff in inches using NRCS method. The time of concentration determined in the previous problem can be used. The pond$/$swamp factor is $1\mathrm{.}0$ as the area does not have pond or swamp area. Find $\backslash ($ q$\_\{$u$\}\backslash )($the unit peak discharge$)$ for the rainfall distribution type from the graph for $\backslash ($ t$\_\{$c$\}\backslash )$ in hours and $\backslash ($ I$\_\{$a$\}/$ P $\backslash ).$ Find the peak discharge based on the TR$-55$ method.