aravan Analogy.Consider a highway that has tollbooths every 120 km. Suppose that cars travel at a rate of 120 km/hr (cars have instant acceleration to 120 km/hr and maintain that constant speed between tollbooths). If there is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth, calculate the following. a.  Suppose the caravan travels 360 km, beginning in front of one tollbooth, passing through a second and third tollbooth and finishing just after a fourth tollbooth. What is the end-to-end delay, in minutes, from the time the first car goes through tollbooth 1 until the last cargoes through tollbooth 4? b.The cast members of “The Fast and the Furious” show up. Instead of 22 cars, there arenow 18 cars. These 18 cars travel 220 km/hr instead of 120 km/hr. What is the new end-to-end delay in minutes? c. Consider the diagram below. The police are on to the cast of “The Fast and the Furious”. These 18 cars travel 280 km/hr on segments A and B (where spotters have reported no cops are hiding) and 120 km/hr on segment C (where spotters have noticed cops lying in wait).Toll booth delays are the same as before. What is the new end-to-end delay in minutes?

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Caravan Analogy.Consider a highway that has tollbooths every 120 km. Suppose that cars travel at a rate of 120 km/hr (cars have instant acceleration to 120 km/hr and maintain that constant speed between tollbooths). If there is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth, calculate the following.


a.  Suppose the caravan travels 360 km, beginning in front of one tollbooth, passing through a second and third tollbooth and finishing just after a fourth tollbooth. What is the end-to-end delay, in minutes, from the time the first car goes through tollbooth 1 until the last cargoes through tollbooth 4?


b.The cast members of “The Fast and the Furious” show up. Instead of 22 cars, there arenow 18 cars. These 18 cars travel 220 km/hr instead of 120 km/hr. What is the new end-to-end delay in minutes?


c. Consider the diagram below. The police are on to the cast of “The Fast and the Furious”. These 18 cars travel 280 km/hr on segments A and B (where spotters have reported no cops are hiding) and 120 km/hr on segment C (where spotters have noticed cops lying in wait).Toll booth delays are the same as before. What is the new end-to-end delay in minutes?

Numbered boxes are toll booths
Lettered arrows are stretches of road
1
A
2
B
3
C
4
Transcribed Image Text:Numbered boxes are toll booths Lettered arrows are stretches of road 1 A 2 B 3 C 4
Expert Solution
Step 1

Given,

A highway that has tollbooths every 120 km. 

Cars travel at a rate of 120 km/hr.

There is a convoy of 22 cars, and it takes each car an average of 24 seconds to clear the tollbooth.

 

 

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