In software system development, it is well known that investing efforts of proving correctness of the design of the system before implementing the software system is much more cost effective than skipping this stage and directly jump into the implementation stage. The process of proving correctness of the design usually starts with formalization of the design. Among the countless formal representation methods, this paper uses Petri net that is a mathematical and graphical modeling tool. Location based service (LBS) has been studied for a long time and most of people enjoy LBS everybody. This paper presents a Petri net model of a location-based content providing system, a type of LBS. Then, the minimum cycle time of the developed Petri net will be analyzed. The minimum cycle time of the Petri net is close to the response time of the LBS system that is one of the important factors specified in system requirements.