To get to Reykjavik from the airport without a car will require you to take the Flybus or a taxi. The bus costs 3700 ISK ($27 USD) and a taxi is usually 30,000 ISK ($220 USD) one way. The journey in both cases takes about 45 minutes. There are always taxis waiting outside the airport ready to depart immediately while the buses tend to leave every 30 - 60 minutes.