In winter, slippery roads emerge in cold regions like Hokkaido. The braking distance on these roads exceeds that on dry roads. Accordingly, the Road Structure Act provides that the braking distance on slippery roads be calculated in consideration of the decline in the friction coefficient between tire and road surface. It also becomes more difficult for vehicles to accelerate and decelerate on slippery roads. Accordingly, calculation of PSD on slippery roads should consider the decline in friction coefficient. However, the Road Structure Act does not provide for such consideration. Furthermore, aborting of overtaking caused by the perception error of driver should be analyzed comprehensively on roads of two opposing lanes. In this study, a model of overtaking model and a model of aborting overtaking that consider the slippery road are developed. The following conclusions were obtained. The length of overtaken vehicle, the speed of overtaking vehicle and the friction coefficient between tire and road surface have a large effect on the PSD, but the ascent slope does has no such effect. The speed of overtaking vehicle and the friction coefficient between tire and road surface have a large effect on the aborting safety ratio, which indicates the difficulty of aborting, but the ascent slope and the length of vehicle have no such effect. (A). For the covering abstract of the conference see ITRD E212110.