Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

A soldier attempts to run 3 miles at 1/4 mile per lap. He stops after 8 laps. What fraction of his run is remaining?

1. 1/3 miles

2. 1/2 miles

3. 1/4 miles

4. 1/6 miles

The correct answer is: 1/3 miles

To determine what fraction of the soldier's run is remaining after he has completed 8 laps, we first need to calculate the total distance he was supposed to run and the distance he covered in those 8 laps. The total distance of his run is 3 miles. Each lap he runs is 1/4 mile long. Therefore, after completing 8 laps, we can calculate the distance he has run by multiplying the number of laps by the distance of each lap: \[ \text{Distance run} = \text{Number of laps} \times \text{Distance per lap} = 8 \, \text{laps} \times \frac{1}{4} \, \text{mile/lap} = 2 \, \text{miles} \] Next, we need to find out how much of the total distance remains by subtracting the distance he has already run from the total distance: \[ \text{Distance remaining} = \text{Total distance} - \text{Distance run} = 3 \, \text{miles} - 2 \, \text{miles} = 1 \, \text{mile} \] Now, we express the