Marinada '23

[lang = hr] $2$ auta voze jedan prema drugome (svaki s prometno ispravne strane ceste) prvi auto vozi stalnom brzinom u intervalu $[0,100]$ $kmh^{-1}$, a drugi vozi $50\, kmh^{-1}$. Cesta je duljine $100\,km$. Svaki auto kreće s jednog kraja ceste. \\ Točka $C$ se nalazi na cesti $48\,km$ udaljena od prvog auta. Točka $D$ se nalazi na cesti $48\,km$ od drugog auta. \\ Kolika je vjerojatnost da će se auti mimoići na dijelu ceste omeđenom točkama $C$ i $D$? [/lang] [lang = en] $2$ cars are driving towards each other (each on the traffic-correct side of the road), the first car is driving at a constant speed in the $[0,100]$ $kmh^{-1}$ interval, and the second car is driving $50\, kmh^{-1}$. The road is $100\,km$ long. Each car starts from one end of the road. \\ Point $C$ is located on the road $48\,km$ away from the first car. Point $D$ is located on the road $48\,km$ from the second car. \\ What is the probability that the cars will pass each other on the part of the road bounded by points $C$ and $D$? [/lang]