GATE CE 2020 Set 2 — Question 41
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Transportation Engineering → Traffic Studies & Flow → Speed-Density-Flow
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Question
The flow-density relationship of traffic on a highway is shown in the figure
The correct representation of speed-density relationship of the traffic on this highway is
Correct answer
(C) [figure]
Solution
The relationship between flow (), density (), and speed () is given by .
1.From the given flow-density () diagram, for the first part (increasing linear through the origin), the relationship is . Substituting , we get (constant). This corresponds to a horizontal line in the speed-density () plot.
2.For the second part (decreasing linear), the relationship is , where is the jam density. Substituting , we get . This is a non-linear (hyperbolic) relationship where speed decreases as density increases.
Option (C) correctly shows a constant speed followed by a non-linear decrease, matching these derivations.Continue learning with Success Tracker
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