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When multiplying conversion factors, make sure the only remaining units are the desired units.
About 6.1mi/h
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.
Multiply fractions
Cancel out common factors
Simplify quotient
Multiply
Calculate quotient
Round to 1 decimal place(s)
We found that Charlie runs at a speed of about 6.1 miles per hour.
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.