Two catchments M and N are meteorologically similar. The basin length (\(L\)), length to the centroid (\(L_{ca}\)), and the drainage area (\(A\)) of catchment M are \(36\) km, \(18\) km, and \(250\) km\(^2\), respectively. The \(L\), \(L_{ca}\) and \(A\) for catchment N are \(50\) km, \(30\) km, and \(400\) km\(^2\), respectively.
For a \(6\)-h unit hydrograph in catchment M, the peak discharge of \(50\) m\(^3\)/s occurs at \(12\) h from the beginning of the rainfall excess. Using Snyder's method, the peak of the \(6\)-h unit hydrograph for catchment N (in m\(^3\)/s) is ________. (Rounded off to two decimal places)