There are many different ways to travel faster between areas.
Within the Nation you can travel by Drago-Express once unlocked. The travell cost 2 Kama and like Zaaps you need to have saved them before you can travel to it.
To reach islands you need to travel by boat. Price is defferent depending on which island you wish to go to. To get back from the island you can use Home to Mummy duckring. That ride is free and it will take you to your homenation.