Queuing is an unavoidable condition faced in our day to day life. In a given organisation where service is being provided, a queue or waiting line is formed whenever an existing request of customers surpasses the present capability of servers to function. In this research, an estimation of passenger queuing time at the ticket window section of the Abuja (Idu) Railway station, Nigeria was carried out. The study design used in this research is the cross section descriptive observational study design, major data for the study was obtained by observation, using two digital stop watch to determine the number of servers, average arrival rate and average service rate of passengers with respect to the various train departure time without distracting employees of the railway station. Multi server approach with its queuing mathematical model was embedded using MS excel spreadsheet to develop a queue excel template which was used to analyse and calculate the system performance measures (the average time a passenger is expected to spend in the ticketing section Original Research Article