In a large mixing bowl, mix flour, baking powder, and salt.
Drizzle in olive oil and stir well. Gradually stir in the water.
Knead the dough a little bit, just until it holds together.
Divide dough into 10 balls and refrigerate for at least 10 minutes.
Using a rolling pin, roll dough balls into flat discs. (Sprinkle a little flour on them if they're sticky.)
Heat a cast iron pan over medium-high heat and cook tortillas for a few seconds on each side, until texture turns from moist to dry and golden brown spots develop.