Question

Peter is filling a swimming pool with water, using 2 different hoses. Hose 1 fills the pool for 7 minutes, and the pool contains 1,372 gallons of water. Hose 2 fills the pool for 12 minutes, and the pool contains 2,316 gallons of water. Determine the rate that fills the pool faster, in gallons per minute.

A. Hose 1: 196 gallons per minute
B. Hose 2: 193 gallons per minute
C. Hose 1: 196.57 gallons per minute
D. Hose 2: 193.5 gallons per minute

Answer 1

Hose 1 fills the pool faster at a rate of 196 gallons per minute.

Step-by-step explanation:

To determine which hose fills the pool faster in gallons per minute, we need to find the rate at which each hose fills the pool. We can do this by dividing the amount of water in the pool by the time it takes to fill the pool for each hose.

For Hose 1:
Rate = Amount of water / Time
Rate = 1,372 gallons / 7 minutes = 196 gallons per minute.

For Hose 2:
Rate = Amount of water / Time
Rate = 2,316 gallons / 12 minutes = 193 gallons per minute.

Therefore, Hose 1 fills the pool faster at a rate of 196 gallons per minute (option A).