Question

If the pump is pumping 1/3 of a gallon every minute, how many minutes will it take to pump 3/4 of a gallon?

Answer 1

It will take 3/4 of a minute to pump 3/4 of a gallon.

Step-by-step explanation:

To find the number of minutes it will take to pump 3/4 of a gallon, we need to set up a proportion.
The given rate is 1/3 gallon/minute. Let x represent the number of minutes needed to pump 3/4 of a gallon.

1/3 gallon/x minutes = 3/4 gallon/1 minute.

Next, cross multiply to solve for x.

1(x minutes) = 3/4(1 minute).

To simplify the equation, multiply both sides by 4.

4(x minutes) = 3(1 minute).

Then, divide both sides by 4.
x minutes = 3/4(1 minute).

Therefore, it will take 3/4 of a minute to pump 3/4 of a gallon.

Answer 2

Answer: x = 9/4 = 2.25 minutes

Step-by-step explanation: To find out how many minutes it will take to pump 3/4 of a gallon when the pump is pumping 1/3 of a gallon every minute, you can use a simple proportion:

(1/3 gallon) / (1 minute) = (3/4 gallon) / (x minutes)

Now, you can cross-multiply and solve for x:

(1/3) * x = (3/4)

To solve for x, multiply both sides by 3:

x = (3/4) * (3/1)

x = 9/4

So, it will take 9/4 minutes to pump 3/4 of a gallon. To express this as a decimal, divide 9 by 4:

x = 9/4 = 2.25 minutes

Therefore, it will take 2.25 minutes to pump 3/4 of a gallon.