Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
3. Convert Unit Rates
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Exercise 20 Page 32

When multiplying conversion factors, make sure the only remaining units are the desired units.

D

Practice makes perfect
We are asked to determine which of the given rates is the same as 35 miles per hour. To do this, let's convert miles per hours into feet per minute. 35 mi/1 h=ft/1 min

Let's start by organizing the relationships between the units in a table.

Starting Unit Converted Unit Unit Ratio
1 mile 5280 feet 5280ft/1mi
1 hour 60 minutes 60min/1h
To perform this conversion, we need to multiply the given value by each unit ratio or its reciprocal. Remember, we want to arrange these ratios in a way that the units we do not want get canceled out and only the units that we do want remain.
35mi/1h * 5280ft/1mi * 1h/60min
35mi * 5280ft * 1h/1h* 1mi * 60min
35 mi * 5280ft * 1 h/1 h* 1 mi * 60min
35 * 5280ft * 1/1* 1 * 60min
184 800ft/60min
184 800/60* ft/min
184 800/60/60/60* ft/min
3080/60/60* ft/min
3080/1* ft/min
3080ft/1min
We got that the 35 miles per hour is the same rate as 3080 feet per minute. This means that the correct option is D

Extra

Common Conversion Factors
Use the following tool to explore some of the most commonly used conversion factors. Conversions can be made both within or between the metric system and the imperial system, also known as the U.S. Customary System.
Conversion factors between different units of measurement
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.

Dimensional Analysis and Using Units