What are the weather conditions the day after we have moderate temperatures, high cloud cover, and rain?

Imagine: The morning is sunny with moderate temperatures. In early afternoon, a thin high cloud cover begins to move in. In late afternoon, cloud cover has thickened and appears to be lower. In late evening, a light gentle rain occurs. What will the temperature be tomorrow, and why?What are the weather conditions the day after we have moderate temperatures, high cloud cover, and rain?
You are describing the typical advance of a warm front. The day after, the temperature will be mild, unless the cold front has already come. The average speed of frontal low is 20 to 25 knots. At that rate, the cold front should come sometimes, the day after.



But the temperature it will be the day after depends very much of the location and the time of the year.



If it is sunny during the summer, the heat of the day overcome the lost of heat at night. In the winter, it is the inverse. But it also depends on your latitude. Where I live, quite north at latitude 60, the 'break-even' is about the equinox. But if you go far enough south, it only gets warmer for each sunny day. It all depends.



When I live (near Oslo, Norway) at this time of the year, the warm sector of a low pressure always give milder temperature. But not in the middle of the summer!



So, it is very difficult to tell your temperature the day after. It all depends on where you live.