As another commenter mentioned, you don’t have to bike (or walk) so fast you turn up drenched in sweat.

But even if you do, since cycling exploded in popularity over the last decade or so, many (most?) offices here in London now have showers, and those that don’t are getting upgraded fast (as tenants are generally not interested in offices without them).

Cities adapt to the needs of their citizens, it becomes a non-issue.