In article .com,
" wrote:

I played an online 5/0 blitz tournament recently on a well-known
server; in one game, we came down to an ending with a rook and two
pawns on each side and no real distinguishing features except---- I
had a minute and a half left on my clock and the other guy had 9
seconds. He started repeatedly offering a draw. I did not accept and
ran him out of time and won.

You were well within your rights to play on.

It's one thing to play out an obvious, technical draw - say, your
opponent has a philidor position, and you're swinging the rook around
making checks when you have no way to make progress.

It's another thing entirely if there's enough material and play left in
the position - regardless of the theoretical outcome - that one player
has to defend with some skill in order to hold the draw.

Of course, the dividing line between these two situations is not so
cut-and-dried, but it seems to me that rook endings with lots of pawns
almost always have the potential for plenty of play.

You did nothing wrong.

-Ron