Example $[2]$

For a certain catchment, the following data are available: the catchment has $20\%$ of soil group B and $80\%$ of soil group D$,$ the land cover of the catchment is classified as $70\%$ fair quality pasture and $30\%$ residential area $(65\%$ average impervious area$)$

Using the SCS$-$CN approach, what would be the direct runoff depth that would result from a daily rainfall of $8$ cm $?$ Assume the catchment is under AMC II