GATE CE 2023 Set 1 — Question 46
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Transportation Engineering → Traffic Studies & Flow → Fundamental Flow Relationships
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Question
A plot of speed-density relationship (linear) of two roads (Road A and Road B) is shown in the figure.
If the capacity of Road A is and the capacity of Road B is , what is ?
Correct answer
(C) (k_A u_A)/(k_B u_B)
Solution
For a linear speed-density relationship , the capacity (maximum flow) is given by .
For Road A: and , so .
For Road B: and , so .
The ratio is .
For Road A: and , so .
For Road B: and , so .
The ratio is .
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