Use the Rational Method to estimate the $5-$year return period discharge for each segment of the storm sewer shown below.

Information on the subcatchment areas:

$\backslash$table$[[,,,$Inlet$],[$Catchment$,$Area $($ac$),C,$Time $($min$)],[$A$,3\mathrm{.}6,0\mathrm{.}7,12],[$B$,4\mathrm{.}0,0\mathrm{.}8,10],[$C$,10\mathrm{.}0,0\mathrm{.}6,28],[$D$,3\mathrm{.}0,0\mathrm{.}9,8]]$

Assume that the flow velocity in each pipe is a constant $2\mathrm{.}5f\frac{t}{s}.$

a$.$ Compute the runoff coefficient $C,$ the drainage area $A,$ the time of concentration $t_c,$ and the $5$year rainfall intensity $i$ at manhole $1.$

b$.$ Estimate the $5-$year return period peak discharge $($in cfs$)$ using the Rational Method at manhole $1($Note: This is the discharge that would be used to size the pipe between manhole $1$ and $2).$

c$.$ Compute the runoff coefficient $C,$ the drainage area $A,$ the time of concentration $t_c,$ and the $5$year rainfall intensity $i$ at manhole $2.$

d$.$ Estimate the $5-$year return period peak discharge $($in cfs$)$ using the Rational Method at manhole $2($Note: This is the discharge that would be used to size the pipe between manhole $2$ and $3).$

e$.$ Compute the runoff coefficient $C,$ the drainage area $A,$ the time of concentration $t_c,$ and the $5-$ year rainfall intensity $i$ at manhole $3.$

f$.$ Estimate the $5-$year return period peak discharge $($in cfs$)$ using the Rational Method at manhole $3($Note: This is the discharge that would be used to size the pipe between manhole $3$ and $4$