Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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With a scale of 1 inch = 80 miles, what is the distance in miles between two cities that are 3 1/5 inches apart?

240 miles
256 miles
300 miles
320 miles

The correct answer is: 256 miles

To determine the distance in miles between the two cities based on the given scale, you first need to convert the distance from inches to miles. The scale indicates that 1 inch represents 80 miles. You are given that the cities are 3 1/5 inches apart. To work with this measurement, it's useful to convert 3 1/5 into an improper fraction. This can be done by multiplying the whole number (3) by the denominator (5) and then adding the numerator (1). Thus, you'd have: 3 1/5 = (3 * 5 + 1)/5 = (15 + 1)/5 = 16/5 inches. Next, you need to multiply this length in inches by the mileage represented by each inch. Since each inch equals 80 miles, the calculation becomes: Distance = (16/5 inches) * (80 miles/inch). When you perform the multiplication, the inches cancel out, simplifying the calculation to: Distance = (16 * 80)/5 miles. Calculating this gives: 16 * 80 = 1280, and then dividing by 5: 1280 / 5 = 256 miles. Thus, the distance between the two