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Finding Time Given Distance and Rate
When the total distance and the constant rate of travel are both known, the elapsed time can be found by substituting into and solving for .
Example: Rey plans to drive from San Diego to Sacramento, a distance of miles. If he drives at a steady rate of miles per hour, how many hours will the trip take?
- Identify: We need the time (number of hours).
- Name: Let = time.
- Translate: Write with and . Substituting gives .
- Solve: Divide both sides by : .
- Check: Substitute back into the formula: . Because is true, the solution is confirmed.
- Answer: Rey's trip will take hours.
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