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The speed-density relationship in a mid-block section of a highway follows the Greenshield’s model. If the free flow speed is v_f and the jam density is k_j, the maximum flow observed on this section is

1. v_f k_j
2. v_f k_j / 2
3. v_f k_j / 4
4. v_f k_j / 8

Correct answer: v_f k_j / 4

Solution

The maximum flow in the Greenshield's model occurs at half the free flow speed and half the jam density, leading to the formula for maximum flow being v_f k_j / 4, which represents the optimal balance between speed and density.

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