Review the carcaravan analogy in Section 14 Assume a propaga

Review the car-caravan analogy in Section 1.4. Assume a propagation speed of 100 km/hour. Suppose the caravan travels 200 km, beginning in front of one tollbooth, passing through a second tollbooth, and finishing just after a third tollbooth. What is the end-to-end delay?

Solution

Answer.

As per the question, toolbooths are 100 kms apart from each other and car is propagating at 100 km/hour.

Time taken by a toolbooth to service a car = 12 seconds.

Number of cars = 10

So it will take 10 * 12 seconds that is 2 minutes for a toolbooth to service 10 cars.

Each car has a propagation delay of 60 minutes to reach to 2nd toolbooth.

So at 62 minutes, all these cars will be lined up before 2nd toolbooth.

This whole process will be repeated again between 2nd and the 3rd toolbooth. Hence total delay will be 2 * 62 minutes that is 124 minutes.