Hello!!

I am not very sure if I properly understood your question, do you have several start points in your road track? Or you want distance of way points from a single start point? Anyways, to begin with did you try the network analyst tool? I think your problem can be solved by network analysis, in ArcGIS or in any other GIS software.

Hope that helps.

Thanks Chitrini. I want distance of way points from a single start point for a each road track. In other word, I want to calculate the chainage of particular point (way points) in each road.

First of all you have to check your polyline whether its continues (only two nodes or multiple) or multiple features, if its single line you have to split the line in to different parts following the waypoints after that you can use the "Calculate Geometry" tool you will get the distance in meter/kilometer/mile as per your wish. 

Thank you Gopinath G !!!