Final answer:
To find the unit rate in gallons of water per hour, divide the number of gallons by the time in hours.
Step-by-step explanation:
To find the unit rate in gallons of water per hour, we need to convert the given time of 1/4 hour to hours. Since there are 4 quarters in an hour, 1/4 hour is equivalent to 1/4 x 1/4 = 1/16 of an hour.
Given that it takes 1/16 hour to fill the pool with 180 gallons of water, we can now calculate the unit rate. We divide the number of gallons (180) by the time in hours (1/16) to find the unit rate in gallons per hour:
180 / (1/16) = 180 x 16 = 2880 gallons per hour.