Coat an 8" inch loaf pan with nonstick cooking spray and set aside. Mash bananas and set aside. In a medium bowl combine all-purpose flour, wheat flour, baking powder, baking soda, cinnamon, and salt. Set aside.
In a large bowl coming egg whites, banana, sugar, and oil. Once mixed well, add flour mixture all at one time to banana mixture. Stir until moistened. The batter should be lumpy. Spoon mixture into pan.
Bake at 350 degrees for 45 to 50 minutes. Test doneness by inserting a wooden toothpick near the center of the bread.
Cool in pan for 10 minutes. Remove from pan and cool completely on the wire rack.