Question
one lap around a dirt track is 1/3 of a mile it takes mark 1/9 hour to one lap what is mark rate in miles per hour
Answers
GPT-4o mini
To find Mark's rate in miles per hour, we can use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
In this case, the distance for one lap around the track is \( \frac{1}{3} \) miles, and the time it takes Mark to complete one lap is \( \frac{1}{9} \) hours.
Now we can substitute the values into the formula:
\[
\text{Speed} = \frac{\frac{1}{3} \text{ miles}}{\frac{1}{9} \text{ hours}}
\]
To divide by a fraction, we can multiply by its reciprocal:
\[
\text{Speed} = \frac{1}{3} \times \frac{9}{1} = \frac{9}{3} = 3 \text{ miles per hour}
\]
Therefore, Mark's rate is **3 miles per hour**.
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
In this case, the distance for one lap around the track is \( \frac{1}{3} \) miles, and the time it takes Mark to complete one lap is \( \frac{1}{9} \) hours.
Now we can substitute the values into the formula:
\[
\text{Speed} = \frac{\frac{1}{3} \text{ miles}}{\frac{1}{9} \text{ hours}}
\]
To divide by a fraction, we can multiply by its reciprocal:
\[
\text{Speed} = \frac{1}{3} \times \frac{9}{1} = \frac{9}{3} = 3 \text{ miles per hour}
\]
Therefore, Mark's rate is **3 miles per hour**.