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The speed-density relation on a one-way, single lane road is shown in the figure, where speed u is in km/hour and density k is in vehicles/km. The maximum flow (in vehicles/hour) on this road is

1. 2500
2. 900
3. 2250
4. 2000

Correct answer: 2000

Solution

The maximum flow on a road is determined by the product of speed and density at the point where the flow is maximized. In this case, the speed at maximum flow is optimal at a density that yields 2000 vehicles/hour, making option D the correct choice.

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