Explanation:
To find the longest time that Ian has to wait to fill the tank, we need to find the total time it takes to fill the tank from its current level of 20 gallons to its maximum level of 125 gallons.
First, we need to find the amount of water that needs to be added to the tank by subtracting the current water level from the maximum water level:
125 gallons - 20 gallons = 105 gallons
Next, we need to divide the amount of water that needs to be added by the rate at which Ian is filling the tank to find the time it will take:
105 gallons / 8 gallons per minute = 13.125 minutes
So the longest time that Ian has to wait to fill the tank is 13.125 minutes.