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Perfect Pools is a pool company that cleans pools. They have two pools to fill before the pools can open. Pool A can hold 30,00...Question
Perfect Pools is a pool company that cleans pools. They have two pools to fill before the pools can open. Pool A can hold 30,000 gallons and takes 6 hours to fill. Pool B can hold 38,000 gallons and takes 7 hours to fill. Which pool will fill up at a faster rate? Choose 1 for pool A and 2 for pool B.(1 point)
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GPT-4o mini
To determine which pool fills up at a faster rate, we need to calculate the filling rate for each pool.
For Pool A:
- Capacity = 30,000 gallons
- Time to fill = 6 hours
Filling rate for Pool A = Capacity / Time = 30,000 gallons / 6 hours = 5,000 gallons per hour.
For Pool B:
- Capacity = 38,000 gallons
- Time to fill = 7 hours
Filling rate for Pool B = Capacity / Time = 38,000 gallons / 7 hours ≈ 5,428.57 gallons per hour.
Now we compare the filling rates:
- Pool A: 5,000 gallons per hour
- Pool B: ≈ 5,428.57 gallons per hour
Since 5,428.57 gallons per hour (Pool B) is greater than 5,000 gallons per hour (Pool A), Pool B fills up at a faster rate.
Therefore, the answer is **2** for Pool B.
For Pool A:
- Capacity = 30,000 gallons
- Time to fill = 6 hours
Filling rate for Pool A = Capacity / Time = 30,000 gallons / 6 hours = 5,000 gallons per hour.
For Pool B:
- Capacity = 38,000 gallons
- Time to fill = 7 hours
Filling rate for Pool B = Capacity / Time = 38,000 gallons / 7 hours ≈ 5,428.57 gallons per hour.
Now we compare the filling rates:
- Pool A: 5,000 gallons per hour
- Pool B: ≈ 5,428.57 gallons per hour
Since 5,428.57 gallons per hour (Pool B) is greater than 5,000 gallons per hour (Pool A), Pool B fills up at a faster rate.
Therefore, the answer is **2** for Pool B.
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