The drainage channel for a catchment is to be sized for the peak runoff rate resulting from a 20-year rainfall event, and the 20-year IDF curve is given by 170(t+8.7)^0.75 cm/h. The surface of the 2.5 ha catchment is covered with dense shrubbery. The catchment has a runoff coefficient estimated to be 0.5, an average overland-flow length of 80 m, and an average slope of 0.6%. Assuming flow over the surface of the catchment is sheet flow, determine the peak runoff rate in m³/s using the rational method.