On a residential single lane road there was a wreck that backed up traffic for 6 miles. 60% of the traffic consists of cars and 40% of the traffic consists of trucks. The average distance between vehicles is 3 feet. The average length of a car is 13.5 feet and the average length of a truck is 20 feet. Estimate how many vehicles are stuck in the traffic jam. (Hint: There are 5280 feet in 1 mile).
Group of answer choices
340 vehicles
504 vehicles
1152 vehicles
1703 vehicles

Question

contestada

Respuesta :

mahendravt mahendravt · Answer 1 · 2022-08-31T10:20:50+02:00

The number of vehicles stuck in the traffic is 1152 .

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

It is given that,

60% of the traffic consists of cars = 0.6

40% of the traffic consists of trucks = 0.7

average distance between vehicles is 3 feet

average length of a car is 13.5 feet

average length of a truck is 20 feet

There are 5280 feet in 1 mile

Let 'n' be the total number of vehicles stuck in the traffic jam.

So, according to question we get the following equation

0.6n*13.5 + 0.7n*20 + 6n - 3 = 6*5280

⇒ 8.1n + 14n + 6n -3 = 31680

⇒ 28.1n = 31680 + 3

⇒ 28.1n = 31683

or, n = 31683/28.1

or, n = 1127.50

or, n ≈ 1128

So the closest option is 1152 vehicles.

Hence,The number of vehicles stuck in the traffic is 1152 .

To lean more about vehicles:

https://brainly.com/question/17618037

#SPJ1