Drying your hair with a microfibre towel will be a faster process than with a cotton towel. After wrapping your hair in a microfiber towel for around 30 minutes, it will be almost totally dry.
Another benefit is the lack of friction caused. With no need to rub the hair to extract the water, less strain and friction is imposed on your hairs, leading to less breakage over time. This also helps microfibre to reduce the frizziness you may see with standard towel-dried hair, requiring less anti-frizz product.