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A single-lane highway has a traffic density of 40 vehicles/km. If the time-mean speed and space-mean speed are 40 kmph and 30 kmph, respectively, the average headway (in seconds) between the vehicles is

1. 3.00
2. 2.25
3. 8.33 × 10⁻⁴
4. 6.25 × 10⁻⁴

Correct answer: 3.00

Solution

The average headway is calculated as the inverse of the traffic density multiplied by the time-mean speed. With a density of 40 vehicles/km and a time-mean speed of 40 km/h, the headway comes out to be 1/(40 vehicles/km) * (3600 seconds/hour) = 3 seconds, confirming option A as correct.

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