! Vehicles start to arrive at a park entrance at 7 AM. From 7 to 8 AM, the arrival rate is a function of time, 0.5*t (wheret is time in min). After 8 AM, vehicle arrivals take hold at a constant rate of 30 cars/min. A park gate opens at 8:00 AM. The gatekeeper processes vehicles at a constant rate of 60 cars/min. • How long does it take for the queue to clear after the gate opens?

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
Problem 26P: The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson...
icon
Related questions
Question

Give me right solution with clear calculations 

Vehicles start to arrive at a park entrance at 7 AM. From 7 to 8
AM, the arrival rate is a function of time, 0.5*t (wheret is time in
min). After 8 AM, vehicle arrivals take hold at a constant rate of 30
cars/min. A park gate opens at 8:00 AM. The gatekeeper processes
vehicles at a constant rate of 60 cars/min.
• How long does it take for the queue to clear after the gate opens?
Transcribed Image Text:Vehicles start to arrive at a park entrance at 7 AM. From 7 to 8 AM, the arrival rate is a function of time, 0.5*t (wheret is time in min). After 8 AM, vehicle arrivals take hold at a constant rate of 30 cars/min. A park gate opens at 8:00 AM. The gatekeeper processes vehicles at a constant rate of 60 cars/min. • How long does it take for the queue to clear after the gate opens?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Physical laws and observations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning