Passenger safetySafety is of paramount importance on rail journeysJourney. It is difficult to predict in advance the likelihood of a train derailment or collision with another train, a car, an animal or any other external object. Technical, organisational and technological measures are taken to reduce the number of rail accidents and the damage they cause. TheQualityof the train journey quality of the train journeyJourney is also enhanced by several other safetySafety measures that are installed on board theTraincarriages carriagesCarriage. The provided mathematical modelMathematical model evaluates the number and condition of fire extinguishing equipment, first aid kits, ambulance call facility, operational status of axle box overheating and theFirealarm system fire alarm systemAlarm system, availability of emergency exitsEmergencyexit on-board, the maintenance of railings, stairs, gangways, doorsDoors, and locks, handbrakeHandbrake status and function, condition of breaks, call the police option. The weights of the eightWeightsub-criteria sub-criteriaSub-criteria of the model were derived from an expertExpert study using the Analytic Hierarchy ProcessAnalytic Hierarchy Process (AHP) method. The relative weightsWeightrelative of theWeightsub-criteria sub-criteriaSub-criteria are calculated by considering the opinionsOpinion of passengers, train staff and railway company management. The variablesVariables for the sub-criteria in the model are calculated using the original formulae. Using the real data from the train under consideration, the proportion of its overall quality index that depends only on train safetySafety factorsFactors has been calculated.