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List of top Transportation Engineering Questions on Fundamental relationships asked in GATE CE

For a given traffic stream, the speed-density relationship is given as:

\[ v = v_o \ln\left(\frac{k_j}{k}\right) \]

where \(v\) is the mean speed (in km/h), and \(k\) is the density (in veh/km).

Considering \(v_o\) as 45 km/h, and \(k_j\) as 200 veh/km, the maximum flow (in veh/h) for the given stream is (rounded off to the nearest integer).
  • GATE CE - 2026
  • GATE CE
  • Transportation Engineering
  • Fundamental relationships
A road is divided into four sections having varying widths as shown in the figure. Section-2 (S2) represents a capacity constrained condition with respect to the traffic flow passing through Section-1 (S1). Section-3 (S3) and Section-4 (S4) do not face any such capacity constraint with respect to the flow. A flow-density relationship for unconstrained and constrained flow conditions is shown in the figure.

If Section-1 observes density D2, the option representing the correct state of density in Sections 2, 3 and 4 is:
  • GATE CE - 2026
  • GATE CE
  • Transportation Engineering
  • Fundamental relationships

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 \(C_A\) and the capacity of Road B is \(C_B\), what is \(\frac{C_A}{C_B}\)? 

  • GATE CE - 2023
  • GATE CE
  • Transportation Engineering
  • Fundamental relationships
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