Prepare the Peach Syrup: In a medium saucepan, combine 1 cup of sugar, 1 cup of water, and 2-3 sliced fresh peaches. Over medium heat, bring the mixture to a gentle boil, stirring occasionally.

Simmer the Mixture: Once boiling, reduce the heat to a simmer and let it cook for 30 minutes.

Strain the Syrup: Using a fine mesh strainer, strain the peach syrup into a bowl or measuring cup, discarding the solid peach pieces.

Brew the Black Tea: In a large pot, bring 6 cups of filtered water to a rolling boil. Add 3 black tea bags and steep for about 5 minutes.

Chill the Tea: Remove the tea bags and let the brewed tea cool down to room temperature, then refrigerate for at least 1 hour.

Combine and Serve: To serve, fill tall glasses with ice, pour in the chilled tea, and slowly add the cooled peach syrup.