A catchment is to be simulated using the Clerk model, that is, by routing using a time-area method (to produce hydrograph time delays), followed by routing through a linear reservoir (to produce hydrograph attenuation). The time-area and rainfall-excess data are given below:

a) What is the total area of the catchment?
b) What is the time of concentration of the overall catchment?
c) Perform the indicted time-area routing?
d) The linear reservoir is to be designed (conceptually) such that the peak flow out of the reservoir is only 60% (( 0.5 cfs) of the inflow peak. Using the Muskingum routing method with x = 0, experiment with K - values to achieve this result.
e) Tabulate and plot (on the same chart) the time-area hydrograph ("inflow") and the outflow hydrograph from the liner reservoir identified in part d.

TIME, min AREA, ac TIME, min RAINFALL EXCESS, in/hr 0-30 30-60 60-90 90-120 120-150 0-30 30-60 60-90 90-120 0.32 0.22 0.27 0.11 42 30 19