There are two main routes to the apartment.

1. By Road down the AP-7 (if you are coming from Alicante Airport you will pass Murcia (San Javier) as you come South on the AP-7)
The road trip from Murcia (San Javier) Airport will take around 35-50 mins, depending on the time of day.

2.By Ferry which takes about half an hour to cross and runs every couples of hours (time depends on the time of year).