if two objects at a different temperatures are in contact with each other, what happens to their temperatures

Conduction occurs when two objects at different temperatures are in contact with each other. Heat flows from the warmer to the cooler object until they are both at the same temperature ... It is caused by the increased activity or speed of molecules in a substance, which in turn causes temperature to rise accordingly. This process continues until heat energy from the warmer object spreads throughout the cooler object.

the object with the higher-temperature decreases in temperature until it is the same temperature as the object with the lower temperature