Using the nomograph and the Intensity Duration and Frequency $($IDF$)$ curves given below, determine the time of concentration for a watershed with a hydraulic length of $4000$ ft and a mean slope of $0\mathrm{.}2\%.$ The watershed is located in Los Angeles, California, and is mostly comprised of unimproved areas with steep grassed slopes and spans over an area of $200$ acres. For the runoff coefficient of $0\mathrm{.}2$ and $25$ years of recurrence interval, determine the peak discharge? Note: No Kirpich equation needed.