I haven't tried but saved game files are stored in a folder with the following path :
C:\RUTM_SaveGames\RUTM2015\
You should find in this folder, different .rum files. For example the RUTM2015_AS.rum would be the Auto Save file
If you have a save that you called , let's say Toulouse, if I am not mistaken there should be a file called RUTM2015_Toulouse.rum
Copying the file to the same folder on the other computer should do the trick, but again I haven't try.