Perfect pools is a pool company that cleans pools they have two pools to fill before the pool can open pool a can hold 30,000 gallons and takes six hours to fill will be holds 38,000 gallons and takes seven hours to fill which will fill up at a faster rate

1 answer

To determine which pool fills up at a faster rate, we can calculate the rate of filling for each pool in gallons per hour.

  1. Pool A:

    • Capacity: 30,000 gallons
    • Filling time: 6 hours
    • Rate of filling: \( \frac{30,000 \text{ gallons}}{6 \text{ hours}} = 5,000 \text{ gallons per hour} \)
  2. 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.

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