Question

Carmen ran 2 laps around the track in 6 minutes. What are the unit rates in laps per minute and minutes per lap?
A.
of a lap per minute and of a minute per lap
B.
of a lap per minute and 3 minutes per lap
C.
3 laps per minute and 3 minutes per lap
D.
3 laps per minute and of a minute per lap
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Answer 1

To find the unit rates in laps per minute and minutes per lap, we can start with the information given:

Carmen ran 2 laps in 6 minutes.

1. **Laps per minute**:
To find laps per minute, we divide the number of laps by the number of minutes:

\[
\text{Laps per minute} = \frac{\text{Total laps}}{\text{Total minutes}} = \frac{2 \text{ laps}}{6 \text{ minutes}} = \frac{1}{3} \text{ laps per minute}
\]

2. **Minutes per lap**:
To find minutes per lap, we divide the number of minutes by the number of laps:

\[
\text{Minutes per lap} = \frac{\text{Total minutes}}{\text{Total laps}} = \frac{6 \text{ minutes}}{2 \text{ laps}} = 3 \text{ minutes per lap}
\]

Based on these calculations, the unit rates are:

- Laps per minute: \( \frac{1}{3} \) laps per minute
- Minutes per lap: 3 minutes per lap

Thus, the correct answer is:
**A.** \( \frac{1}{3} \) of a lap per minute and 3 minutes per lap.