Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

If 3 laps account for ¼ of a mile, then how many miles do 8 laps represent?

1. 1/2 mile

2. 1/4 mile

3. 3/4 mile

4. 2/3 mile

The correct answer is: 2/3 mile

To determine how many miles 8 laps represent when 3 laps equal ¼ of a mile, we first find out the distance per lap. From the information given, if 3 laps account for ¼ of a mile, we can calculate the distance of one lap by dividing the total distance (¼ mile) by the number of laps (3): \[ \text{Distance per lap} = \frac{1/4 \text{ mile}}{3} = \frac{1}{4 \times 3} = \frac{1}{12} \text{ miles per lap} \] Now that we know the distance for one lap, we can find the distance for 8 laps by multiplying the distance of one lap by 8: \[ \text{Distance for 8 laps} = 8 \times \frac{1}{12} = \frac{8}{12} = \frac{2}{3} \text{ miles} \] This calculation demonstrates that 8 laps represent 2/3 of a mile. It is important to ensure that the operations conducted were correct, and they validate that considering the distance covered for each lap leads us to the accurate total for 8 laps.