The ability to realize an Intelligent Transportation System (ITS) to improve driver safety has attracted huge interests from researchers this decade. Vehicular Communication covering vehicle-to-vehicle (V2V), vehicle-to-infrastructure (V2I) communication supported by ITS provide ubiquitous internet connectivity among the vehicles to improve safety for drivers. In addition to carrying driver safety messages, such as emergency warning messages, accident alerts and road work messages, multi-hop routing carrying the information for driver's comfort such as long route traffic information, on road advertisements and parking assistance are also an important and challenging task in vehicular ad hoc networks (VANET). This paper presents a multi-hop long range transmission of packets among the vehicles on the basis of reduced transmission hops by choosing the most suitable vehicle within the transmission range for packet transmission. The algorithm proposed in this paper, Fastest Multi-Hop Routing Scheme (FMHR) is evaluated based on incoming and outgoing throughput and compared with another multi-hop transmission algorithm using different radio access technology. The simulation environment used for the evaluation of proposed algorithm is NCTUns-6.0.