This year, we've been working hard to shore up the basics around servers in Rust. By the time 2017 ends, we should a relatively solid and stable web framework at the level of Sinatra. Rails, on the other hand, is still some distance off, though there's definitely interest in pursuing it.
More broadly, there's a lot of demand in this space, and I personally believe this is a great area for Rust to continue growing in, because it puts helpful pressures on our story for ergonomics and productivity.