Question

Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallons of water in 4 minutes. The equation in equals 6t shows the number of gallons of water n with which pipe you fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much

Answer 1

Comparing the rates at which pipes P and Q fill a tank, pipe P has a rate of 5 gallons per minute, while pipe Q fills the tank at a rate of 6 gallons per minute. Therefore, pipe Q fills the tank with 1 gallon more water per minute than pipe P.

Step-by-step explanation:

To determine which pipe fills the tank with more water per minute, we'll calculate the rate of each pipe. Pipe P has given us that it fills the tank with 20 gallons of water in 4 minutes. Conversely, pipe Q has an equation representing its fill rate, n = 6t, where n is the number of gallons and t is the time in minutes.

First, let's find pipe P's rate:

1. Divide the volume of water (20 gallons) by the time (4 minutes) to find the rate.
2. The rate for pipe P would, therefore, be 5 gallons per minute.

Next, let's examine pipe Q's rate using the equation:

1. If we set t to 1 minute, the equation becomes n = 6t turns into n = 6(1).
2. Thus, pipe Q fills the tank with 6 gallons of water per minute.

Pipe Q fills the tank with 1 gallon more water per minute than pipe P.

Answer 2

Pipe Q

Step-by-step explanation:

Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallons of water in 4 minutes. The equation in equals n = 6t shows the number of gallons of water n with which pipe Q fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much

Solution:

Pipe P fills the tank with 20 gallons of water in 4 minutes. If n represent the number of gallons of water that fills the tank in t minutes, then for pipe P:

n = 20 gallons / 4 minutes *t

n = 5t

Also, the number of gallons of water that fills the tank in t minutes for pipe Q is given by:

n = 6t

Since the rate at which pipe Q fills the tank (i.e. 6t) is greater than the rate at which pie P fills the tank (i.e. 5t), hence Pipe P fills the tank with more water each minute by 6 gallons while pipe P fills by 5 gallons each minute.