1. In this problem, assume a propagation speed of 100 km/hr and that each toll b
ID: 3839368 • Letter: 1
Question
1. In this problem, assume a propagation speed of 100 km/hr and that each toll booth takes 25 seconds to service a car.
a) (7 points) Suppose the caravan of 10 cars travels a total of 150 km beginning immediately in front of the first toll booth, travels 75 km to a second toll booth, then another 75 km to a third toll booth, and finally stops immediately after the third tool booth. What is the total end-to-end delay?
b) (3 points) Where is the last car in the caravan after 60 minutes? Your answer must include a distance/specific location, and not only a relative direction.
Explanation / Answer
Since the cars travel . 150 + 75 + 75 = 300km
10 cars and 3 toll both and each takes 25 sec
=> 10 * 3 * 25 = 750 seconds
750/60 = 12.5 minutes for the delay
Distance travelled = 300 km
Propagation speed = 100km/hr
Time taken = 300/100 = 3 hours
Total end to end delay = 3 hour and 12.5 minutes
180 + 12.5 = 192.5 minutes
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