There are 2 routes from a rural origin to the CBD destination. The most direct route A is 21 miles with an average free flow speed of 45 mph and a capacity of 2000 cars per hour. The alternate route B is 30 miles with an average free flow speed of 60 mph and a capacity of 4000 cars per hour. As traffic increases, the time to traverse the routes is given by the following functions: I_A = I^A_o 1/(1 - V/C) and t_B = t^B_o 1/[1 - (V/C)^2]
How would you anticipate that 3000 cars wo longer distance (but faster speed) southern route and 2320 cars will uld divide themselves between routes A and B?