Travel from Granada to Valencia

Best and quickest can be two different things. Quickest way is to rent a car and drive...a little over five hours on good highways. But check on potential one-way dropoff costs. There's only one direct train....an overnight service. There are about a dozen bus runs, half of which are overnight. Daytime runs take from 7 to 9 1/2 hours, depending on which you take, but the fare is only 39 Euro. Check http://www2.alsa.es/portal/index.asp?lang=en for bus times and tickets.