Evacuation Time: 3 Million People Using 12 Lanes of Traffic

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Evacuation Time: 3 Million People Using 12 Lanes of Traffic
Figure 1. As average vehicle speed increases, the time required to evacuate moves asymptotically toward 25 hours.



Input Parameters / Assumptions
 
Number of People (millions): 3
Average Number of People per Car: 4
Number of Lanes (Est. 3 freeways with 4 lanes each): 12
Average length of 1 car (feet): 20
Number of car lengths per 10 mph of speed (recommended safe distance is 1 car length per 10 mph): 1


Average Vehicle Speed (mph) Length of 1 Car plus Number of car lengths per car Feet traveled per minute per car Number of cars per minute each lane Number of cars per hour each lane Total number of cars per hour Time Required To Evacuate People (Hours)
  = 1 + (mph) / (0.1 * (num car lengths per 10 mph of speed)) = (mph) * (5280 ft/mile) / (60 minutes per hour) = (feet travelled per minute per car) / ((avg length of car) * (number of car lengths per car)) = (number of cars per minute) * 60 = (number of cars per hour) * (number of traffic lanes) = (number of people) / ((avg number of people per car) * (number of cars))
 
10 2 880 22 1320 15,840 47.4
15 2.5 1320 26.4 1584 19,008 39.5
20 3 1760 29.3 1760 21,120 35.5
25 3.5 2200 31.4 1886 22,629 33.1
30 4 2640 33 1980 23,760 31.6
35 4.5 3080 34.2 2053 24,640 30.4
40 5 3520 35.2 2112 25,344 29.6
45 5.5 3960 36 2160 25,920 28.9
50 6 4400 36.7 2200 26,400 28.4
55 6.5 4840 37.2 2234 26,806 28.0
60 7 5280 37.7 2263 27,154 27.6
65 7.5 5720 38.1 2288 27,456 27.3
70 8 6160 38.5 2310 27,720 27.06