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 answer:
1/10 gallons/second = 6 gallons/minute = 1/40 quarts/second = 3/2 quarts/minute