Answer:
1510 vehicles
Step-by-step explanation:
First you need to determine how many feet cars and trucks occupy.
In 5 miles:
Cars fill up 80% = 0.80 x 5 miles = 4 miles
Trucks fill up 20% = 0.20 x 5 miles = 1 mile
Because we know the lengths and distances of the cars and trucks in feet, let's convert the miles they cover into feet.
Cars = 4 miles x 5280 ft/mile = 21,120 ft
Trucks = 1 mile x 5280 ft/mile = 5280 ft
So how many cars would there be if they covered at least 21,120 ft?
Considering that there is 3 ft between each car and a car has a length of 13.5 ft, a single car will cover 16.5 ft.
To see how many cars then fit in 21,120 ft, just divide it by the distance one car covers.
[tex]\dfrac{21,120ft}{16.5 ft/car} = 1,280 cars[/tex]
So how many trucks would there be if they covered at least 5,280 ft?
A truck is 20 ft long and again there is a space of 3 ft in between. So we add that up to see how many feet a single truck needs.
20 ft + 3 ft = 23 ft
We then take that total and divide the feet covered by trucks.
[tex]\dfrac{5,280ft}{23ft/truck}= 229.57 trucks[/tex]
Since we cannot have half a truck, we round that off to the nearest whole number which will be 230 trucks.
So we add the number of trucks and cars to get the number of vehicles in total:
1280 + 230 = 1,510 vehicles
