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The free flow speed of a highway is 100 km/h and its capacity is 4000 vehicle/h. A speed density relation is linear. For a traffic volume of 2000 vehicle/h, choose all the possible speeds (in km/h) from the options given below (round off to two decimal places).

1. 85.36
2. 65.20
3. 14.64
4. 7.22

Correct answer: 85.36

Solution

The correct option, 85.36 km/h, is derived from the linear speed-density relationship, where at a traffic volume of 2000 vehicle/h, the speed can be calculated by considering the maximum speed and capacity. This speed is within the range that maintains a stable flow without exceeding the capacity.

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