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GATE Exam Questions - Engineering

Q1:

A linear relationship is observed between speed and density on a certain section of a highway. The free flow speed is observed to be 80 km per hour and the jam density is estimated as 100 vehicles per km length. Based on the above relationship, the maximum flow expected on this section and the speed at the maximum flow will respectively be

A 8000 vehicles per hour and 80 km per hour

B 8000 vehicles per hour and 25 km per hour

C 2000 vehicles per hour and 80 km per hour

D 2000 vehicles per hour and 40 km per hour

ANS:D - 2000 vehicles per hour and 40 km per hour

Jam density (K_j).
Free flow speed (uf).

Therefore, max flow is given by = 1/4 * Kj * if.
=1/4 * 80 * 100.
= 2000veh/hr.
Speed = 80/2 = 40kmph.