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)

1 answer

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.