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When multiplying conversion factors, make sure the only remaining units are the desired units.
About 63mi/h
We are given that Seth traveled 1 mile in 57.1 seconds. We want to find about how fast Seth travels in miles per hour. This means that we need to change miles per second into miles per hour. 1 mi/57.1 s=mi/1 h Let's start by organizing the relationships between the units in a table.
| Starting Unit | Converted Unit | Unit Ratio |
|---|---|---|
| 60 seconds | 1minute | 60s/1min |
| 60minutes | 1 hour | 60min/1h |
To perform this conversion, we need to multiply the unit rate 1mi57.1s 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
Identity Property of Multiplication
Write as a product of fractions
Use a calculator
Round to nearest integer
a*b/c= a* b/c
We found that Set travels at a speed of about 63 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.