Traffic flow on a section of a two-lane highway can be described by the Greenshields model, with a mean free speed of 55 mi/h and a jam density of 145 veh/mi/ln. At the time when the flow was 90% of the capacity of the highway, a large dump truck loaded with heavy industrial machinery from an adjacent construction site joins the traffic stream and travels at a speed of 15 mi/h for a length of 3.5 mi along the upgrade before turning off onto a dump site. Due to the relatively high flow in the opposite direction, it is impossible for any car to pass the truck. Determine how many vehicles will be in the platoon behind the truck by the time the truck leaves the highway

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
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Traffic flow on a section of a two-lane highway can be described by the
Greenshields model, with a mean free speed of 55 mi/h and a jam density of 145
veh/mi/ln. At the time when the flow was 90% of the capacity of the highway, a
large dump truck loaded with heavy industrial machinery from an adjacent
construction site joins the traffic stream and travels at a speed of 15 mi/h for a
length of 3.5 mi along the upgrade before turning off onto a dump site. Due to the
relatively high flow in the opposite direction, it is impossible for any car to pass
the truck. Determine how many vehicles will be in the platoon behind the truck by
the time the truck leaves the highway
Transcribed Image Text:Traffic flow on a section of a two-lane highway can be described by the Greenshields model, with a mean free speed of 55 mi/h and a jam density of 145 veh/mi/ln. At the time when the flow was 90% of the capacity of the highway, a large dump truck loaded with heavy industrial machinery from an adjacent construction site joins the traffic stream and travels at a speed of 15 mi/h for a length of 3.5 mi along the upgrade before turning off onto a dump site. Due to the relatively high flow in the opposite direction, it is impossible for any car to pass the truck. Determine how many vehicles will be in the platoon behind the truck by the time the truck leaves the highway
Expert Solution
Step 1

Following are the given data.

The mean free speed, uf=145 veh/mi/ln

The jam density, kj=55 mi/h

 

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