GATE CE 2016 Set 1 — Question 64
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Transportation Engineering → Traffic Studies & Flow → Speed-Density-Flow
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Question
While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) is _________
Correct answer
2.9 to 3.1
Solution
Let be the flow of the traffic stream (vehicles/hr) and be the density of the traffic stream (vehicles/km).According to the moving observer method:
Given vehicles/hr and km/hr.
---(Equation 1)
Given vehicles/hr and km/hr.
---(Equation 2)Subtracting Equation 2 from Equation 1:
vehicles/km.The density of the traffic stream is 3 vehicles/km.
1.When moving against the stream:
Relative flow, Given vehicles/hr and km/hr.
---(Equation 1)
2.When moving along (with) the stream:
Relative flow, Given vehicles/hr and km/hr.
---(Equation 2)Subtracting Equation 2 from Equation 1:
vehicles/km.The density of the traffic stream is 3 vehicles/km.
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