Step 1: Understand the Rational Method formula. The Rational Method calculates the peak runoff rate for a small watershed using the formula: \[ Q = C \cdot I \cdot A \] where \(Q\) is the peak discharge, \(C\) is the runoff coefficient, \(I\) is the rainfall intensity (matching the time of concentration duration), and \(A\) is the watershed area.
Step 2: Ensure unit consistency. To obtain discharge \(Q\) in m\(^3\)/s, the input parameters must be in compatible units. A practical version of the equation is: \[ Q (\text{m}^3/\text{s}) = \frac{C \cdot I (\text{mm/h}) \cdot A (\text{ha})}{360} \]. The rainfall intensity is converted to mm/h: \(I = 6\) cm/h \( = 60\) mm/h.
Step 3: Apply the given values to the formula. The provided values are: Runoff coefficient, \(C = 0.60\); Rainfall intensity, \(I = 60\) mm/h; Area, \(A = 100\) ha. The calculation is: \[ Q = \frac{0.60 \times 60 \times 100}{360} = \frac{3600}{360} = 10 \text{ m}^3/\text{s} \]