PROBLEM TO BE SOLVED: To provide a position determination device which suppresses power consumed in position determination of a mobile terminal and also performs the highly accurate position determination.SOLUTION: Acquisition means 103 acquires terminal position information indicating a position of a mobile terminal 10 acquired by measurement. Distance calculation means 105 calculates a travel distance from a position indicated by the terminal position information to a position indicated by destination information. Estimated speed calculation means 106 calculates estimated speed which is an estimated value for travel speed of the mobile terminal. Travel time calculation means 108 compares the estimated speed and assumption speed pre-assumed as travel speed of the mobile terminal 10, selects the speed faster than the other, and calculates a travel time of the mobile terminal on the basis of the selected speed and the travel distance. Acquisition control means 109 controls the acquisition means 103 to perform
