Assuming a linear speed-density relationship. the mean freespeed is observed to be 65 mph at near zero density and thecorresponding jam density is 160 veh/mi. Assume that the averagelength of vehicles is 20 feet.
a) Write down the equations for speed-density and flow-densityrelationships
b) Calculate the speed and density corresponding to a flow of1000 veh/hr
c) Calculate the average time headway and average space headwaywhen the traffic flow is at maximum value