Use the alternating block $($balanced triangular$)$ method with a $10-$minute time step to derive

the $10-$year, $2-$hour design storm for a watershed in St$.$ Louis, Missouri. The IDF relationship

for $10-$year storm events in St$.$ Louis is approximated by

$i=\frac{61\mathrm{.}0}{(t+8\mathrm{.}96{)}^{0\mathrm{.}78}}$

where $i$ is the rainfall intensity in in$/$hr and $t$ is duration in minutes. Note that your final result

should be the cumulative rainfall depths $($in inches$)$ that would serve as input to the NRCS CN

method for computation of the resulting increments of runoff in $10-$minute steps.