How long does it take to travel between the south and north terminal at Gatwick?

We are travelling with Easy Jet from the North terminal and returning with Thomas Cook to the South terminal. As our flight home is early hours we thought it would be easier to park at south terminal and travel across to North. How easy is this? and How long does it take? Any tips/where we get the train etc would be greatly appreciated!

ThanksHow long does it take to travel between the south and north terminal at Gatwick?we go gatwick alot and you could run and it would not take that long, however of you tell the airport they migth gove you a lift in a car/ truck around the airport.