Rates Math Example 2

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

Example 2

medium
Printer A prints 180180 pages in 33 minutes and Printer B prints 260260 pages in 44 minutes. Which printer is faster?

Solution

  1. 1
    Find Printer A's unit rate: 1803=60\frac{180}{3} = 60 pages per minute.
  2. 2
    Find Printer B's unit rate: 2604=65\frac{260}{4} = 65 pages per minute.
  3. 3
    Compare: 65>6065 > 60, so Printer B is faster.
  4. 4
    State the answer clearly: Printer B prints 6565 pages per minute versus Printer A's 6060 pages per minute.

Answer

PrinterĀ BĀ isĀ fasterĀ atĀ 65Ā pagesĀ perĀ minute\text{Printer B is faster at } 65 \text{ pages per minute}
To compare two rates with different totals, convert each to a unit rate (per 1 of the second unit). Once both rates have the same denominator, comparison is straightforward.

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 ā†’

More Rates Examples

Example 1 easy

A car travels [formula] miles in [formula] hours. What is its speed as a unit rate in miles per hour

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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