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GATE 2024 CE (CE1) – Question 44

Traffic Engineering and Transportation Planning · Fundamental relationships of traffic flow · 2 marks · Multiple choice

The free mean speed is 60 km/hr on a given road. The average space headway at jam density on this road is 8 m. For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is

  1. 1875
  2. 938
  3. 2075
  4. 1038

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Correct answer: (A) 1875

Explanation

The jam density is $k_j = \frac{1000}{8} = 125$ veh/km. For a linear speed-density relation the maximum flow is $q_{max} = \frac{v_fk_j}{4} = \frac{60 \times 125}{4} = 1875$ veh/h.