Tables and spacers (usually transparent single pixel images with explicitly specified width and height) are the old way to create and maintain page layout.
Web pages designed with tables nested within tables, result in large documents which use more bandwidth than documents with simpler formatting.
When a table based layout is linearized, for example when being parsed by a screen reader or a search engine, the order of content is jumbled and confusing.
Web browsers usually have to download all content within a table before displaying it on a page, resulting in slower load times.
Without tables, content on a page can load sequentially, appearing faster to the end user.