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Finding Distance Given Rate and Time
When the rate of travel and the elapsed time are both known, the distance can be found by substituting directly into the formula and multiplying.
Example: Jamal rides his bike at a uniform rate of miles per hour for hours. What distance has he traveled?
- Identify: We need the distance traveled.
- Name: Let = distance.
- Translate: Write the formula and note that mph and hours. Substituting gives .
- Solve: miles.
- Check: At mph, Jamal covers miles each hour — so miles in hours and miles in hours. Traveling miles in hours falls between these values, confirming the answer is reasonable.
- Answer: Jamal rode miles.
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