1. **State the problem:** We need to find the rate at which Sebastian and Gabriel complete math problems per minute and then compare these rates to determine who works faster.
2. **Formula for rate:** Rate is calculated as $$\text{Rate} = \frac{\text{Number of problems}}{\text{Time in minutes}}$$
3. **Calculate Sebastian's rate:** Sebastian completes 14 problems in 21 minutes.
$$\text{Rate}_{Sebastian} = \frac{14}{21} = \frac{2}{3} \approx 0.6667 \text{ problems per minute}$$
4. **Calculate Gabriel's rate:** Gabriel completes 36 problems in 1 hour. Since 1 hour = 60 minutes,
$$\text{Rate}_{Gabriel} = \frac{36}{60} = 0.6 \text{ problems per minute}$$
5. **Compare the rates:** Sebastian's rate is approximately 0.6667 problems per minute, and Gabriel's rate is 0.6 problems per minute.
6. **Conclusion:** Since $$0.6667 > 0.6$$, Sebastian completes problems more quickly than Gabriel.
**Final answer:** Sebastian can complete problems more quickly.
Rate Comparison
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