TADM2E 1.31

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Assumptions:

approx 400000 cars
each car needs to refuel once a week
each gas station is open 10 hours a day and refuels 10 cars an hour
there are enough stations to refuel all cars once per week

Calculation:

cars that can be fueled by 1 station in 1 week
10*10*7=700
a number of gas stations (rounded up):
ceil(400000/700)=572

A slightly different approach:

  • approx 300 mln cars in the US (1 car per each citizen).
  • each station is open 12hr a day, has 6 places for taking fuel, each fueling takes about 6 min
  • amount of cars using given gas station daily: $ 6 * 12 * \frac{60}{6} = 6 * 120 = 720 $
  • gas station (at least in Europe) are used always used, so: $ \frac{300 000 000}{720} \approx 333 000 $ gas stations.