QUESTION $2[22$ marks$]$A mining town called King Senzangakhona Town is to be developed near Volkrust in the KwaZuluNatal$($inland region$).$ The new township will be $500$ ha in area, comprising of $20\%$ downtown businessdistrict; $10\%$ neighborhood shops, $30\%$ apartment dwellings, $10\%$ of asphalt paved streets and theremaining area is occupied by single family residential dwellings. The average slope of the hillside inUlundi is mostly soft and moderate. The catchment is $10$ km in area, is covered in thin desert bush,and cultivated vineyards on permeable soil. The length of the longest stream, which is a naturalchannel, is $10\mathrm{.}5$ km and the height difference between the remote point on the watershed and thedischarge point is $420$ m$.$Calculate the change in peak discharge $($ie$.$ before and after the township is built$)$ for $20-$year returnperiod storm. The average rainfall in the region is $200$ mm per annum.$($Use the lowest of the range of values given in the appendices to calculate the run$-$off coefficient Cfor Urban areas$)$ Assume ARFis $0\mathrm{.}918$ km$2$