Rates Math Example 3

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

Example 3

easy
A typist types 420420 words in 77 minutes. What is the unit rate in words per minute?

Solution

  1. 1
    Write the rate: 420 words7 minutes\frac{420 \text{ words}}{7 \text{ minutes}}.
  2. 2
    Divide: 420÷7=60420 \div 7 = 60 words per minute.

Answer

60 words per minute60 \text{ words per minute}
Dividing the total quantity by the total time (or other denominator unit) converts any rate to a unit rate, which expresses how much of one quantity corresponds to exactly one of the other.

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 1 easy

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

Example 2 medium

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

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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