If a flood wave passes through the model channel in 15 min., what time will be required for a similar flood to pass through the corresponding length of the river?

A river model is to be constructed using a vertical scale of 1/20 and a horizontal scale of 1/200. The prototype channel has an average depth of 10 ft, an average width of 400 ft, a Manning n = 0.026 and a slope of 0.0007. Assuming that the river is approximately rectangular, determine the model and prototype discharges. In addition, determine the distortion ratio, the model roughness, and both the model and prototype Reynolds and Froude numbers.