The railway track is one of the most important element of a railway system. During passage of trains, the rails are subjected to contact load that comes from the wheels of the train. The railway track often fail in service due to wear caused by contact fatigue and other wear damage mechanisms. It is worthy to note that no matter how perfect the rail vehicle is designed to be, if the rails is not in good conditions with a minimal fatigue and wear damage, this will definitely affect the life span of the railway infrastructure and railway vehicle. The aim of this research is to investigate the wear behavior of a rail material under the effects of variable vehicle loads, coefficient of friction and running speed of the train. In this study wear parameters (wear rate, and wear volume) are analyzed by numerical modeling using SIMPACK. The wear behavior of Addis Ababa light rail transit rails was studied (straight track section of the north-south line). The effects of coefficient of friction, wheel load and vehicle speed was investigated. From the study, it was found that the highest specific wear rate for the overload capacity of the train is 1.271234 x 10-4 mm 3/Nm while the lowest specific wear rate is 0.000453 x 10-4 mm 3/Nm. The highest specific wear rate occurred at the maximum operating speed of the train (70 Km/hr) while the lowest specific wear rate occurred at a speed of 20 Km/h. This shows that as the running speed of the train increases, the specific wear rate increases. So in other to increase the wear life of the rails in Addis Ababa light rail transit, it is imperative to use medium friction coefficient (0.25 to 0.35) values and operate the train between the speed ranges of 20 to 40 Km/hr.