A military transport vehicle has circular tires with a diameter of 4 feet. If the vehicle … — Armed Services Vocational Aptitude Battery (ASVAB)

A military transport vehicle has circular tires with a diameter of $4$ feet. If the vehicle moves forward such that each tire makes exactly $250$ full revolutions without slipping, what is the total distance traveled in feet? Use $\pi = 3.14$ .

Answer: 3140 feet

Answer

3140

Each time a tire completes one full revolution, the vehicle moves forward a distance exactly equal to the tire's circumference. The circumference is found by multiplying the diameter (

4

feet) by

\pi

(

3.14

), yielding

12.56

feet per revolution. Multiplying this linear distance by

250

revolutions gives a total distance of

3140

feet.

Step-by-Step Solution

Calculate the circumference of the tire.

12.56 feet

One full revolution of a tire covers a linear distance exactly equal to its circumference.

Calculate the total distance traveled by multiplying the circumference by the number of revolutions.

3140 feet

The total distance is the distance covered in one revolution multiplied by the total number of revolutions.

Key Concept

Circumference and Wheel Revolutions

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