Consider an 8-car caravan, where the propagation speed is 100 km/hour, each car takes 1 minute...

 

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Consider an 8-car caravan, where the propagation speed is 100 km/hour, each car takes 1 minute to pass a toll both. The caravan starts in front of toll booth A, goes through toll booth B, and ends after passing toll booth C. Let daB and dac be the distance between A-B, and B-C. a) Suppose dAB = dBC = 10 km. What is the end-to-end delay if the caravan travels together (i.e., the first car must wait for the last car after passing each toll booth)? b) Repeat a), but assume the cars travel separately (i.e., not waiting for each other). c) Repeat a) and b), but suppose dAB = dBc = 100 km. d) Still suppose dAB = dBC = 100 km. Suppose toll booth B takes 10 minute to pass each car (A and C still takes 1 minute per car). Where is the first car when the second car passes B? e) Under the assumption of d), what is the maximum value of dec such that the first car has passed C when the second car passes B? Consider an 8-car caravan, where the propagation speed is 100 km/hour, each car takes 1 minute to pass a toll both. The caravan starts in front of toll booth A, goes through toll booth B, and ends after passing toll booth C. Let daB and dac be the distance between A-B, and B-C. a) Suppose dAB = dBC = 10 km. What is the end-to-end delay if the caravan travels together (i.e., the first car must wait for the last car after passing each toll booth)? b) Repeat a), but assume the cars travel separately (i.e., not waiting for each other). c) Repeat a) and b), but suppose dAB = dBc = 100 km. d) Still suppose dAB = dBC = 100 km. Suppose toll booth B takes 10 minute to pass each car (A and C still takes 1 minute per car). Where is the first car when the second car passes B? e) Under the assumption of d), what is the maximum value of dec such that the first car has passed C when the second car passes B?