Unit Rate Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Unit Rate.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
A rate expressed as a quantity per single unit of another quantity, such as miles per hour or cost per item.
'60 miles per hour' tells you the distance in one hour—easy to compare.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Unit rates standardize comparison by expressing 'how much per one.'
Common stuck point: Choosing which quantity should be 'per one' depends on context.
Sense of Study hint: Divide the total by the number of units, then label your answer with 'per one' to make the rate clear.
Worked Examples
Example 1
easySolution
- 1 A unit rate means the amount for exactly 1 gallon.
- 2 Set up the rate: \frac{240 \text{ miles}}{8 \text{ gallons}}.
- 3 Divide: 240 \div 8 = 30.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
mediumRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.