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A swimming pool has a capacity of 2,500 gallons of water. The output of a hose is 25 gallon per minute. How much time would it take to fill the pool?

99 minutes

75 minutes

125 minutes

100 minutes

User Cleve
by
3.5k points

2 Answers

2 votes

Final answer:

By dividing the pool's capacity of 2,500 gallons by the hose output of 25 gallons per minute, we find that it will take 100 minutes to fill the pool.

Step-by-step explanation:

To calculate the time needed to fill the swimming pool, we need to divide the pool's total capacity by the output rate of the hose. So the time t is given by the equation t = total capacity / hose output.

For the pool in question, we have:

  • Total capacity = 2,500 gallons
  • Hose output = 25 gallons per minute

Dividing the total capacity by the hose output, we get:

t = 2,500 gallons / 25 gallons per minute = 100 minutes

Therefore, it would take 100 minutes to fill the pool using the hose with an output of 25 gallons per minute.

User Chris Simon
by
3.1k points
7 votes

Answer:

  • 100 minutes

Solution:

We know that:

  • Capacity = 2,500 gallons
  • Hose = 25 gallons/minute

Solution:

  • 25 gallons = 1 minute
  • => 25x gallons = x minutes = 2500 gallons
  • => 25x = 2500
  • => x = 100 minutes

Hence, it will take 100 minutes to fill the pool.

User Buttle Butkus
by
3.2k points