To determine which pool fills up at a faster rate, we can calculate the rate of filling for each pool in gallons per hour.
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Pool A:
- Capacity: 30,000 gallons
- Filling time: 6 hours
- Rate of filling: \( \frac{30,000 \text{ gallons}}{6 \text{ hours}} = 5,000 \text{ gallons per hour} \)
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Pool B:
- Capacity: 38,000 gallons
- Filling time: 7 hours
- Rate of filling: \( \frac{38,000 \text{ gallons}}{7 \text{ hours}} \approx 5,428.57 \text{ gallons per hour} \)
Now we can compare the rates:
- Pool A fills up at a rate of 5,000 gallons per hour.
- Pool B fills up at a rate of approximately 5,428.57 gallons per hour.
Conclusion: Pool B fills up at a faster rate than Pool A.