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 5 Page 29

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

About 6.1mi/h

Practice makes perfect
We want to express 3 yards per second in miles per hour. 3 yd/s= mi/h

This means that we need to change yards per second into miles per hour. Let's start by organizing the relationships between the units in a table.

Starting Unit Converted Unit Unit Ratio
1 yard 3feet 3ft/1yd
5280feet 1 mile 5280ft/1mi
60 seconds 1minute 60s/1min
60minutes 1 hour 60min/1h
To perform this conversion, we need to multiply the rate in yards per second by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that every unit we do not want gets canceled out, and only the units that we want will remain.
3yd/s = 3yd/1s * 3ft/1yd * 1mi/5280ft * 60s/1min * 60min/1h
3yd/s = 3yd * 3ft * 1 mi * 60 s * 60min/1s* 1yd* 5280 ft* 1 min* 1 h
3yd/s = 3 yd * 3 ft * 1 mi * 60 s * 60 min/1 s* 1 yd* 5280 ft* 1 min* 1 h
3yd/s = 3* 3* 1 mi * 60 * 60/1* 1* 5280* 1* 1 h
3yd/s = 32 400 mi/5280h
3yd/s = 6.136363... mi/h
3yd/s ≈ 6.1 mi/h
We found that Charlie runs at a speed of about 6.1 miles per hour.

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