Provided is an estimating system including: at least one memory configured to store computer program code; and at least one processor configured to access said at least one memory and operate according to said computer program code, said computer program code including: via point acquisition code configured to cause the at least one processor to acquire a position of a via point, wherein the route is a path followed by a mobile object when the mobile object moves toward a destination; staying time period code configured to cause the at least one processor to estimate, based on the position of the via point, a staying time period; and arrival time code configured to cause the at least one processor to estimate, by including the staying time period, an arrival time of the mobile object at the destination.