Preheat your oven to 350°F (175°C). Grease a loaf pan.
In a large bowl, whisk together the sugar, oil, and eggs until well combined.
Stir in the grated zucchini and carrot.
In another bowl, combine the flour, baking powder, baking soda, cinnamon, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing just until combined.
Pour the batter into the prepared loaf pan.
Bake for 60 minutes, or until a toothpick inserted into the center comes out clean.
Let the loaf cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.