how far is this hotel from geneva airport ? and what would be the cheapest mode of communication from airport to this hotel ?
Which hotel? Assume one in St Genis? It's 15-20 mins drive maximum. Cheapest would be bus to Ferney-Voltaire, not sure of the route bus number to get to St Genis. Sorry.
This is such an old message that I'm posting simply in case others ask the same question. St Genis is about 40 minutes on the bus from Cornavin (main station in centre of Geneva) and about 30 minutes from the airport. A bus would be the cheapest option and they do cross into France although (at the time of writing) most stop at CERN on the border. St Genis is certainly walkable from the border although you wouldn't want to be doing it with a heavy bag.