In one of the saucepans, make the black tea by heating the tea bags in 1 cup of water for approximately 5 minutes, then allow to cool completely. Discard the tea bags.
Add the chopped banana, ½ cup of sugar, and ½ a cup of water in another saucepan. Bring to a gentle simmer for 3 minutes but do not let it boil. Stir gently to dissolve the sugar but be careful not to break up the banana pieces. Remove from heat, strain well to remove large chunks, and allow to cool.
Put the chopped peaches, passion fruit flesh, and sliced oranges in another saucepan with the remaining ½ cup of water and ½ cup of sugar. Bring to a boil for 5-10 minutes, then strain and allow to cool.
Add the cooled black tea to the banana syrup and the peach/passionfruit/orange syrup, and top with ice.
Store refrigerated in an airtight container for up to 3 days.