Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

Question: 1 / 400

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

To find the distance in miles between two cities that are 3 1/5 inches apart with a scale of 1 inch representing 80 miles, you need to first convert the mixed number into an improper fraction.

3 1/5 inches can be converted as follows:

- Multiply the whole number (3) by the denominator (5) which gives you 15.

- Add the numerator (1) to that product: 15 + 1 = 16.

- Thus, 3 1/5 inches is equivalent to 16/5 inches.

Next, to find the distance in miles, you multiply the number of inches (16/5) by the number of miles represented by each inch (80 miles):

Distance = (16/5) inches × 80 miles/inch

Now, perform the multiplication:

- 80 can be rewritten as 80/1 for easier multiplication purposes.

- So, you multiply:

(16/5) × (80/1) = (16 × 80) / (5 × 1) = 1280/5

Now, simplify 1280/5:

- When you divide 1280 by 5, you get

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300 miles

320 miles

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