Problem 4. The flow-vs-density relation of a lane of a highway is given by:
q=50-0.625k
, where
q
is the flow rate (veh/h) and
k
is the density (veh/mile). (a) What is the free flow speed and jam density? (b) Write the speed-vs-density equation. (c) What is the capacity of the lane? (d) What is the average speed and density of the traffic at
25%
of the jam density?