Rates Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
A car travels 240240 miles in 44 hours. What is its speed as a unit rate in miles per hour?

Solution

  1. 1
    Write the rate as a fraction: 240 miles4 hours\frac{240 \text{ miles}}{4 \text{ hours}}.
  2. 2
    Divide numerator and denominator by 4: 240÷44÷4=60 miles1 hour\frac{240 \div 4}{4 \div 4} = \frac{60 \text{ miles}}{1 \text{ hour}}.
  3. 3
    The unit rate is 6060 miles per hour.

Answer

60 miles per hour60 \text{ miles per hour}
A unit rate expresses a ratio with a denominator of 1, making it easy to compare or use in calculations. Divide both parts of the rate by the denominator quantity to convert to a unit rate.

About Rates

A rate is a ratio that compares two quantities measured in different units, expressing how much of one quantity corresponds to a given amount of another. It is often written as 'per' one unit of the second quantity, such as miles per hour or dollars per pound.

Learn more about Rates →

More Rates Examples

Example 2 medium

Printer A prints [formula] pages in [formula] minutes and Printer B prints [formula] pages in [formu

Example 3 easy

A typist types [formula] words in [formula] minutes. What is the unit rate in words per minute?

Example 4 hard

Juice costs [formula]3.84[formula]16[formula][formula] for [formula] fl oz. Which is the better deal

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