Question
Write 100 mi in 6 h as a rate (in \( \mathrm{mi} / \mathrm{h} \) ) in simplest form \( \square \mathrm{mi} / \mathrm{h} \)
Ask by Vega Park. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The rate is \( \frac{50}{3} \, \mathrm{mi/h} \).
Solution
1. We are given a distance of \( 100 \) miles traveled in \( 6 \) hours.
2. The rate is given by
\[
\text{rate} = \frac{\text{distance}}{\text{time}} = \frac{100}{6} \, \mathrm{mi/h}.
\]
3. To simplify, we can divide the numerator and denominator by \( 2 \):
\[
\frac{100}{6} = \frac{100 \div 2}{6 \div 2} = \frac{50}{3}.
\]
4. Thus, the rate in simplest form is
\[
\boxed{\frac{50}{3} \, \mathrm{mi/h}}.
\]
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Simplify this solution Bonus Knowledge
To find the rate in miles per hour, you simply divide the distance by the time. So, you take the total miles (100 mi) and divide it by the total hours (6 h): \[ \frac{100 \text{ mi}}{6 \text{ h}} = \frac{100}{6} \text{ mi/h} = \frac{50}{3} \text{ mi/h} \approx 16.67 \text{ mi/h}. \] So, in simplest form, the rate is \( \frac{50}{3} \mathrm{mi/h} \). And there you have it, you’re cruising at a rate of approximately 16.67 miles per hour!
