[T] The following table provides hypothetical data regarding the level of service for a certain highway. Plot vehicles per hour per lane on the x-axis and highway speed on the y-axis. Compute the average decrease in speed (in miles per hour) per unit increase in congestion (vehicles per hour per lane) as the latter increases from 600 to 1000, from 1000 to 1500, and from 1500 to 2100. Does the decrease in miles per hour depend linearly on the increase in vehicles per hour per lane? Plot minutes per mile (60 times the reciprocal of miles per hour) as a function of vehicles per hour per lane. Is this function linear?

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter2: Transportation Systems And Organizations
Section: Chapter Questions
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[T] The following table provides hypothetical data regarding the level of service for a certain highway.

  1. Plot vehicles per hour per lane on the x-axis and highway speed on the y-axis.
  2. Compute the average decrease in speed (in miles per hour) per unit increase in congestion (vehicles per hour per lane) as the latter increases from 600 to 1000, from 1000 to 1500, and from 1500 to 2100. Does the decrease in miles per hour depend linearly on the increase in vehicles per hour per lane?
  3. Plot minutes per mile (60 times the reciprocal of miles per hour) as a function of vehicles per hour per lane. Is this function linear?
Highway Speed Vehicles per Hour per Lane Density Range (vehicles / mi)
> 60 < 600  < 10
60 - 57 600 - 1000  10 - 20
57 - 54 1000 - 1500 20 - 30
54 - 46 1500 - 1900 30 - 45
46 - 30 1900 - 2100 45 - 70
< 30 Unstable 70 - 200
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ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning