Travel by Car: The driving distance between Essen to Mostar with fastest route is 1.640 km, and estimated travel time is around 15 hours. The route goes via highway in from Croatia to Austria (toll fees apply) and in Germany where highways are free of charge.
Travel by Bus: If there are direct buses from Essen to Mostar, timetable and price tickets you can check here. Alternatively it is also possible to travel via Sarajevo or Split in Croatia.
Alternative ways of travelling from Essen to Mostar:
Travel by train: From Mostar there is a possibility to travel by train to Zagreb (via Sarajevo). From Zagreb there is a train connection with Munchen (Germany). Trains in Bosnia and Herzegovina, and Croatia are very slow, so in total travel time by train will be more than 30 hours. More information for travelling by train in Bosnia and Herzegovina you can check here.
Travel by plane: There is no direct flight, but there is an option to fly from Split in Croatia to Cologne in Germany. Driving distance from Cologne to Essen is 85 km.
Map with buses from Mostar: