ASVAB · Ratios, Proportions, and Rates

On a map, 1 inch represents 50 miles. Two cities are 3.5 inches apart on the map. How far apart are they in actual miles?

Correct answer

175 miles

  1. A 175 miles
  2. B 225 miles
  3. C 200 miles
  4. D 150 miles

Why this is the answer

3.5 × 50 = 175 miles. Scale proportion: inches × miles-per-inch = actual miles. Map-scale problems are direct proportions: 1 inch : 50 miles, so 3.5 inches : 3.5 × 50 miles. Split the decimal to do it mentally — 3 × 50 = 150 plus 0.5 × 50 = 25 gives 175. The distractor 150 miles ignores the half inch, 200 rounds 3.5 up to 4, and 225 uses 4.5 inches.
Source: ASVAB AR, Scale/Map Problems

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About this topic: Ratios, Proportions, and Rates

Ratios, proportions and rates cover scale drawings, recipes, speed and unit prices. Almost every question reduces to setting two ratios equal and cross-multiplying — once you see that pattern the section becomes fast. This is one of 11 Arithmetic Reasoning questions on ratios, proportions, and rates, each with a full explanation on a single study page.

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