Question

Swimming pool A contains 37 gallons of water and is filling at a rate of 7 gallons per minute. Swimming pool B contains 12 gallons of water and is filling at a rate of 8 gallones per minute. Enter the number of minutes it will take for both swimming pools to contain the same amount of water.

Answer 1

Answer:

It will take 25 minutes for both swimming pools A and B to contain the same amount of water.

Step-by-step explanation:

To determine the number of minutes it will take for both swimming pools A and B to contain the same amount of water, we can set up an equation based on their respective rates of filling.

Let's denote:

- V_A as the initial volume of water in pool A (37 gallons)

- V_B as the initial volume of water in pool B (12 gallons)

- R_A as the rate at which pool A is filling (7 gallons per minute)

- R_B as the rate at which pool B is filling (8 gallons per minute)

- t as the number of minutes it will take for both pools to contain the same amount of water (what we're trying to find)

The equation can be set up as follows:

V_A + R_A * t = V_B + R_B * t

Substituting the given values, we have:

37 + 7t = 12 + 8t

Now we can solve for t:

7t - 8t = 12 - 37

-t = -25

Multiplying both sides by -1, we have:

t = 25

Therefore, it will take 25 minutes for both swimming pools A and B to contain the same amount of water.