Combine the flours and salt in a bowl. Make a well in the center, add 1/2 cup warm water and 1 tablespoon olive oil and mix to make a sticky dough. Turn out onto a lightly floured surface and knead until soft and pliable, about 5 minutes. Brush a bowl with olive oil and place the dough in it. Cover and let rest about 30 minutes.
Divide the dough into 6 even balls. On a floured surface, roll each ball into an 8-to-9-inch round, then layer between parchment paper.
Heat a large skillet over medium-high heat. One at a time, lightly brush each dough round with oil and place in the pan. Cook until bubbly on top and charred on the bottom, 1 to 2 minutes, then flip and cook 1 more minute. Remove from the skillet, brush with more oil and season with salt. To reheat, wrap the flatbreads in a damp paper towel and microwave 45 seconds.