System’s Approach has emerged as a significant tool for engineers in solving intricate problems of developing countries. The authors have applied this approach is finding out the optimum solution to tue “Transportation Methods Between Jaipur and Delhi”.The paper discusses the basic problem which ultimately gives rise to a “Need Statement”. The need and information analysis are then carried out. The existing methods are rail, road and air. These three systems are analysed in view of the capacity, initial cost of the system, travel cost, time of travel, governments, assistance and cooperation, accidents, safety, comfort etc., Actual data were collected for information analysis. On the basis of Need & Information, Analysis, Activity Analysis is carried out. The effective constraint of each system are determined which is followed by analysing tne inputs and the desired outputs of the Transportation System. A date for final execution of the system has also been fixed.The various possible systems need preparation of feasibility reports. These systems are analysed for social feasibility, economical feasibility and Physical feasibility. The important constraints are Social status, standard of living, income, nature of duties, time factor, comfort and cost of travel. These constraints limit the various solutions to only a few possible systems. Authors have also incorporated two more systems. Electric trains and ships- as possible solutions. The various aspects o of these two proposed systems have also been discussed, though they are not practicable for execution. It was not possible to carryout the preliminary & detailed design of the selected solutionsThe authors feel that the system’s approach must be applied to intricate problems of developing countries. Although this approach is costly in the beginning, but after a decade of implementation, overall utilities and benefits shall be much more. Bandom solutions as adopted in transportation methods at present, need modifications, and many a times complete overhaul of the existing system. This obstacle can be obviated provided the optimum solution by system’s approach was determined and executed earlier.