GATE CE 2024 Set 1 — Question 44
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Transportation Engineering → Traffic Studies & Flow → Speed-Density-Flow
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Question
The free mean speed is on a given road. The average space headway at jam density on this road is . For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is
Correct answer
(A) 1875
Solution
Given:
Jam density is the reciprocal of the space headway at jam density:
- Free mean speed
- Space headway at jam density
Jam density is the reciprocal of the space headway at jam density:
2.Calculate Maximum Flow ():
For a linear speed-density relationship (Greenshields model), the maximum flow occurs at half the free mean speed and half the jam density:Thus, the maximum flow expected on the road is 1875 veh/hr/lane.Continue learning with Success Tracker
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