Answered: 7th Ave. 6th Ave. 700 |600 Snip 500 3rd…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The below figure shows the flow of traffic near a city’s Civic Centre during the rush hours on a typical weekday. Each road can handle a maximum of 1000 cars/ hour without causing congestion. The flow of traffic is controlled by traffic lights at each of the five intersections.

a. Formulate a system of linear equations describing the traffic flow.
b. Solve the system devised in part (a) ensuring no congestion.
c. Suppose 7th avenue between 3rd and 4th streets is soon to be closed for road repairs. Find one possible flow pattern that will result in a smooth flow of traffic.

7th Ave.
6th Ave.
700
|600
Snip
500
3rd St.
Civic Drive
800
600
4th St.
600
700
700

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