When there is precipitation, rain water mainly goes to three places
50% Absorbed to the ground.
40% Evaporation
10% Runs off.
If there is rain on already existing bodies of waters (ie rivers)
It will just be hundred precent absorbed in to the water and combined in to the same body of water.
When the evnviroment is in a freezing environment, the rain water will freeze, and repeat its process of absorption and evaporation again once it melts.