Aerowarriors are 24mm wide (outside of the rim) and are double-walled, so prob 18mm or thereabouts inner width. So tyres between 25mm and 40mm wide should be OK. As Sheldon says, though, these sizings are conservative, and you could probably get away with tyres a bit narrower or wider, at a push.
I'm happy to be corrected by anyone with more accurate info.
You might find this useful:
http://sheldonbrown.com/tire-sizing.html#width
Rim width refers to the inner width of the rim.
Aerowarriors are 24mm wide (outside of the rim) and are double-walled, so prob 18mm or thereabouts inner width. So tyres between 25mm and 40mm wide should be OK. As Sheldon says, though, these sizings are conservative, and you could probably get away with tyres a bit narrower or wider, at a push.
I'm happy to be corrected by anyone with more accurate info.