Data obtained from aerial photography showed six vehicles on a 700 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 3.7 sec. Determine (a) the density on the highway, (b) the flow on the road, and (c) the space mean speed.

What will be an ideal response?


a) Density,

k = 6 veh / 700 ft

k = 0.0086 veh/ft

k = 0.0086 × 5280 = 45.4 veh/mi

b) Flow,

q = 1 / (3.7 sec/veh)

q = 0.27 veh/sec

q = 0.27 × 3600 = 973 veh/h

c) Space mean speed (SMS),

us = (973 veh/h) / (45.4 veh/mi)

us = 21.4 mi/h

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