GATE CE 2018 Set 2 — Question 63
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Transportation Engineering → Traffic Studies & Flow → Fundamental Flow Relationships
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Question
The space mean speed (kmph) and density (vehicles/km) of a traffic stream are linearly related. The free flow speed and jam density are 80 kmph and 100 vehicles/km respectively. The traffic flow (in vehicles/h, up to one decimal place) corresponding to a speed of 40 kmph is ______.
Correct answer
2000 to 2000
Solution
The relationship between space mean speed () and density () is linear (Greenshields model):Where:
First, find the density at :The traffic flow is given by:Thus, the traffic flow is 2000.0 vehicles/h.
- is the free flow speed = 80 kmph
- is the jam density = 100 vehicles/km
First, find the density at :The traffic flow is given by:Thus, the traffic flow is 2000.0 vehicles/h.
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