Who has priority on the pavement: a pedestrian or a cyclist?

A few days ago, I found myself in an unpleasant situation. I was walking with my children along the pavement – I was pushing my younger child on a bicycle with a parent handle, and my elder child was walking next to me. We were, naturally, talking quite loudly. Suddenly, I felt a rather strong blow to my shoulder and only managed to catch a glimpse of a cyclist who had sped past us like a bullet.

A few days ago, I found myself in an unpleasant situation. I was walking with my children along the pavement – I was pushing my younger child on a bicycle with a parent handle, and my elder child was walking next to me. We were, naturally, talking quite loudly. Suddenly, I felt a rather strong blow to my shoulder and only managed to catch a glimpse of a cyclist who had sped past us like a bullet. 

As commented by the State Automobile Inspectorate (GAI), regarding travel on two-wheeled vehicles within the town, the Traffic Regulations clearly state: one must ride on the cycle path, and in its absence, on the pavement or the verge. However, most importantly, movement must be carried out in a way that does not create obstacles or danger for pedestrians. If the aforementioned road elements are absent or cannot be used, movement on the carriageway is permitted no further than 1 metre from its right edge.

Incidentally, the same Traffic Regulations requirements apply to electric scooters and segways.