To determine which two swimmers swam at the same rate, we'll need to compare the rate at which each swimmer completed their laps. The rate can be calculated as "time per lap."
Let's calculate the rate for each swimmer:
1. Jonathan:
- Laps: 2
- Time: 4 minutes
- Rate: [tex]\( \frac{\text{Time}}{\text{Laps}} = \frac{4}{2} = 2 \)[/tex] minutes per lap
2. Julian:
- Laps: 1
- Time: 1 minute
- Rate: [tex]\( \frac{\text{Time}}{\text{Laps}} = \frac{1}{1} = 1 \)[/tex] minute per lap
3. Seth:
- Laps: 3
- Time: 6 minutes
- Rate: [tex]\( \frac{\text{Time}}{\text{Laps}} = \frac{6}{3} = 2 \)[/tex] minutes per lap
4. Bennett:
- Laps: 7
- Time: 21 minutes
- Rate: [tex]\( \frac{\text{Time}}{\text{Laps}} = \frac{21}{7} = 3 \)[/tex] minutes per lap
5. Taylor:
- Laps: 4
- Time: 7 minutes
- Rate: [tex]\( \frac{\text{Time}}{\text{Laps}} = \frac{7}{4} = 1.75 \)[/tex] minutes per lap
Now that we have the rates for each swimmer, we can compare them to identify which swimmers had the same rate:
- Jonathan's rate is 2 minutes per lap.
- Julian's rate is 1 minute per lap.
- Seth's rate is 2 minutes per lap.
- Bennett's rate is 3 minutes per lap.
- Taylor's rate is 1.75 minutes per lap.
We can see that Jonathan and Seth both have the same rate of 2 minutes per lap. Thus, the correct answer is:
C. Jonathan and Seth
No other pairs of swimmers have the same rate.
