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

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.