A channel has the irregular shape shown in Figure, with a bottom slope of 0.0016 ft/ft. Th...

A channel has the irregular shape shown in Figure, with a bottom slope of 0.0016 ft/ft. The indicated Manning’s n-values apply to the corresponding areas only. Assuming that Q = Q + Q2 + Q3, find the rate of flow in the channel if y1 = 2 ft, y2 = 10 ft, and y3 = 3 ft.

Figure