ASVAB · Basic Operations and Word Problems

A truck travels 420 miles using 28 gallons of diesel. What is the fuel economy in miles per gallon?

Correct answer

15 mpg

  1. A 18 mpg
  2. B 15 mpg
  3. C 12 mpg
  4. D 21 mpg

Why this is the answer

420 ÷ 28 = 15 miles per gallon. Division word problem: divide total miles by total gallons to find miles per gallon. Why the others are wrong: 12 mpg would need 35 gallons for 420 miles; 18 mpg would need about 23 gallons; 21 mpg would need 20 gallons. Quick check: 15 × 28 = 420 ✓. On the ASVAB, 'per' in a rate question always means divide — the quantity before 'per' goes on top.
Source: ASVAB AR, Rate Problems

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About this topic: Basic Operations and Word Problems

Basic operations word problems are the core of Arithmetic Reasoning: addition, subtraction, multiplication and division dressed up as money, distance, time or quantity problems. The skill tested is setting the problem up correctly, not the arithmetic itself. This is one of 11 Arithmetic Reasoning questions on basic operations and word problems, each with a full explanation on a single study page.

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