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10. The catfish pond contains 2,500 gallons of water. The pond can hold no more than
3,000 gallons of water. It is being filled at a rate of 110 gallons per hour. How many
hours will it take to fill but not overfill the pond?

Respuesta :

The tank has 4.54 hours left before it is filled

Data;

  • Rate = 110 gallons per hour
  • Maximum volume = 3000 gallons of water
  • Current volume = 2500 gallons of water

Rate at which the pond is filled

The rate at which the pond is filled is 110 gallons per hour. Let us find how much volume of water is left to fill the tank.

[tex]v = maximum volume - current volume\\v = 3000 - 2500\\v = 500[/tex]

The tank needs about 500 gallons of water more before it is filled.

Since the rate of flow per hour is 110 gallons, let us write an equation to solve how much time is left to fill the tank.

[tex]110gallons = 1 hour\\500 gallons = x\\x= 500/110\\x = 4.54 hour[/tex]

The tank has 4.54 hours more before it is filled.

Learn more about rates here;

https://brainly.com/question/19104371

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