GATE CE 2025 Set 2 — Question 50
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Transportation Engineering → Traffic Studies & Flow → Speed-Density-Flow
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Question
The free flow speed of a highway is and its capacity is . Assume speed density relation is linear.For a traffic volume of , choose all the possible speeds (in km/h) from the options given below (round off to two decimal places).
Correct answer
(A) 85.36; (C) 14.64
Solution
Given:
Free flow speed
Capacity
Linear speed-density relation: We know that
The relationship between flow () and speed () for a linear model is:
For :
Using the quadratic formula:
Both speeds are possible. Thus, options (A) and (C) are correct.
Free flow speed
Capacity
Linear speed-density relation: We know that
The relationship between flow () and speed () for a linear model is:
For :
Using the quadratic formula:
Both speeds are possible. Thus, options (A) and (C) are correct.
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