480 gallons in 2/3 hours = 240 gallons in 1/3 hour
480 gallons in 2/3 hours = 240 gallons in 20 minutes
480 gallons in 2/3 hours = 12 gallons per minute
The unit rate is 12 gallons per minute
How to find the unit rate?
A unit rate is a ratio between two units where the second rate is 1. It compares a certain number of units of one quantity to 1 unit of another quantity.
We are told that a standard shower drain can drain water at the rate of 480 gallons in 2/3 hours.
Thus:
If 2/3 hours = 480 gallons, then:
1/3 hours = ((1/3) * 480)/(2/3) = 240 gallons in 1/3 hour
This can also be written as:
240 gallons in 20 minutes
Converting to per minute gives: 240/20 = 12 gallons per minute
The unit rate is 12 gallons per minute