Carmen ran 2 laps around the track in 6 minutes. What are the unit rates in laps per minute and minutes per lap?

Question

A.
3 laps per minute and 3 minutes per lap
B.
of a lap per minute and of a minute per lap
C.
3 laps per minute and of a minute per lap
D.
of a lap per minute and 3 minutes per lap

Answer 1

To find the unit rates for Carmen's running, we need to calculate the laps per minute and minutes per lap.

1. Laps per minute:

   • Carmen ran 2 laps in 6 minutes.
   • To find laps per minute, we divide the number of laps by the number of minutes: \[ \text{Laps per minute} = \frac{2 \text{ laps}}{6 \text{ minutes}} = \frac{1}{3} \text{ laps per minute}. \]

2. Minutes per lap:

   • To find minutes per lap, we divide the number of minutes by the number of laps: \[ \text{Minutes per lap} = \frac{6 \text{ minutes}}{2 \text{ laps}} = 3 \text{ minutes per lap}. \]

Based on these calculations, the correct unit rates are:

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

Now we can match this with the options provided:

The answer is: D. \( \frac{1}{3} \) of a lap per minute and 3 minutes per lap.