1. The manufacturer says that the pool holds 14,040 gallons of water
when filled to capacity. The Smiths use a hose that has a flow rate of
72 quarts per minute. How long will it take to fill the pool? Explain.​

Respuesta :

Answer:

  13 hours

Step-by-step explanation:

The time, quantity, and rate are related by ...

  time = quantity / rate

The rate is given in quarts per minute, but the capacity is given in gallons. We know that 4 quarts is 1 gallon, so we can change the rate to gallons per minute:

  (72 qt/min)×(1 gal)/(4 qt) = 18 gal/min

Now, we can use the above formula to find the time to fill the pool:

  time = (14040 gal)/(18 gal/min) = (14040/18) min = 780 min

This is a difficult time to relate to, so we choose to change it to hours:

  (780 min)×(1 h)/(60 min) = 780/60 h = 13 h

It will take 13 hours to fill the pool.

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