Tiffany is filling her daughter's pool with water for a hose. she can fill the pool at a rate of 1/10 gallons/second. create at least three equivalent ratios that are associated with the rate.

At first I assumed you were asking for 3 different ratios equivalent to 1/10, which could be 2/20, 10/100, or 5/50. But it seems you are asking for ratios equivalent to 1/10 gallons to second.
For this, you could change both the 'gallons' and the 'seconds' to get different unit with the same ratio.
1/10 gallon/second * 60 seconds / 1 minute = 6 gallons/minute
1/10 gallon/second * 1 gallon / 4 quarts = 1/40 quarts/second
combining these two conversions we can do
1/10 gallon/second * 60 second / 1 minute * 1 gallon / 4 quarts = 3/2

Final
1/10 gallons/second = 6 gallons/minute = 1/40 quarts/second = 3/2 quarts/minute
Hope I helped :)