Question

The flow of water from a faucet can fill a 4 -gallon container in 32 seconds. Give the ratio of gallons to seconds as a rate in gallons per second and as a reduced fraction.

Answer 1

The rate of flow is 0.125 gallons per second or 1/8 gallons per second.

Step-by-step explanation:

To find the rate of flow in gallons per second, we need to convert the 4-gallon container into gallons per second. We can do this by dividing the number of gallons by the number of seconds it takes to fill the container. Using the given information that the container is filled in 32 seconds, we can divide 4 gallons by 32 seconds to get a rate of 0.125 gallons per second. This is the rate of flow as a decimal.

To express the rate of flow as a reduced fraction, we can convert the decimal form of the rate into a fraction by putting it over 1. This gives us 0.125/1. To reduce the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 1. This leaves us with the reduced fraction of 1/8 gallons per second.