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Question

# A two-lane urban road with one-way traffic has a maximum capacity of 1800 vehicles/hour. Under the jam condition, the average length occupied by the vehicles is 5 m. The speed versus density relationship is linear, For a traffic volume of 1000 vehicles/hour, the density (in vehicles/km) is

A
52
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B
75
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C
58
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D
67
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Solution

## The correct option is D 67Jam density per lane Kj=10005=200vehicle/km Maximum capacity per lane =18002=900veh/hr qmax=VfKj4 Vf=4×900200=18km/hr q=VfK−VfKjK2 Traffic Vol. per lane = 500 500=18K−18200K2 K2−200K+10000018=0 K=33.33veh/km Hence, density for two lane = 2×33.33=66.67 veh/km

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