I have never played this game on an old computer. The game has never slowed down or frozen as some have reported here.
I admit that our computers are newer and are fast. But I don't think computer speed helps in this game. On the fast side anyway.

I can tell you that a wireless mouse doesn't help you at all. Now the bigger thin screen picture may help some.
Most people who we have played against me seem to be more likely to hit the walls and not the blue blocks as you reach the longer times.

To tell the truth, I have broken the 40 second mark, but avg. in the low to mid 30's most of the time. Again, mostly hitting the walls when I miss.