GATE CE 2019 Set 1 — Question 55
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Transportation Engineering → Traffic Studies & Flow → Speed-Density-Flow
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Question
Average free flow speed and the jam density observed on a road stretch are and , respectively. For a linear speed-density relationship, the maximum flow on the road stretch (in vehicles/h) is ________
Correct answer
1800 to 1800
Solution
Given:
Free flow speed,
Jam density,
For a linear speed-density relationship (Greenshields model), the speed at density is given by:
Flow is given by .
Maximum flow occurs when , which gives .
At , the speed is .
.
Free flow speed,
Jam density,
For a linear speed-density relationship (Greenshields model), the speed at density is given by:
Flow is given by .
Maximum flow occurs when , which gives .
At , the speed is .
.
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