A two‑lane road has a free‑flow speed of 80 km h$^{-1}$ and a lane capacity of 1800 passenger cars per hour under free‑flow conditions. During the peak hour the observed flow is 2600 cars per hour and the average speed drops to 45 km h$^{-1}$. Assuming the linear speed‑flow relationship $v = v_{f}\bigl(1 - q/q_{\max}\bigr)$, where $v_{f}$ is the free‑flow speed and $q_{\max}$ is the theoretical maximum flow, determine $q_{\max}$ (rounded to the nearest whole car per hour) and state the level of service (LOS) using the following criteria: LOS A if the observed flow / $q_{\max}$ ≤ 0.6, LOS B if  0.6 and ≤ 0.8, LOS C if  0.8 and ≤ 1.0, LOS D if  1.0.

Question

A two‑lane road has a free‑flow speed of 80 km h$^{-1}$ and a lane capacity of 1800 passenger cars per hour under free‑flow conditions. During the peak hour the observed flow is 2600 cars per hour and the average speed drops to 45 km h$^{-1}$. Assuming the linear speed‑flow relationship $v = v_{f}\bigl(1 - q/q_{\max}\bigr)$, where $v_{f}$ is the free‑flow speed and $q_{\max}$ is the theoretical maximum flow, determine $q_{\max}$ (rounded to the nearest whole car per hour) and state the level of service (LOS) using the following criteria: LOS A if the observed flow / $q_{\max}$ ≤ 0.6, LOS B if > 0.6 and ≤ 0.8, LOS C if > 0.8 and ≤ 1.0, LOS D if > 1.0.

Accepted Answer

approximately 5940 cars per hour; LOS A

Neco Model Questions Vol1 2021 Geography Question 15

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