Final answer:
Simple squamous epithelium is best adapted for rapid material transport due to its flattened, thin cell structure that allows for efficient diffusion.
Step-by-step explanation:
The epithelial tissue type best adapted for the rapid transport of materials across its membranes is the Simple squamous epithelium. This type of epithelial tissue is characterized by cells that are flattened and thin, which allows for a high rate of diffusion due to the minimal distance substances have to travel to pass through the cell.
It is found in locations such as the alveoli of lungs, where gas exchange occurs rapidly, and the lining of capillaries, where it facilitates the transfer of oxygen and nutrients.