How fast a road dries depends on a number of factors. The texture of the road, humidity, drainage and the steepness. This drying out process may last between an hour to days. Some roads can be quite dangerous to drive on under wet conditions and great care should be taken when on these types of roads.
Asphalt
Asphalt takes six to twelve months to fully cure, and remains a little more susceptible to damage for that time. However, it takes 48 to 72 hours to dry enough for foot and vehicle traffic. This is for new asphalt. Resurfaced asphalt can be dry in as soon as a few hours. Asphalt drying time is partially dependent on the weather. Extreme heat can delay the drying process, as well as cause the asphalt to soften again before it can fully cure. Ideal temperature for Asphalt to dry is 100 degrees Fahrenheit.
Dirt Roads
Dirt roads are considered unconstructed roads with on natural soil. This type of road comes in various textures, from sandy to muddy and takes various time to dry up. Sandy soil dries faster but are denser while muddy soils takes longer time to dry and are sticky. Wet sandy soil is easier to drive in contrast to when dry. While muddy soil in some cases can prove slippery and difficult to drive on when wet in contrast to when dry.
Driving on wet roads should be done with caution due to the loose traction of the surface of the road. Care should be taken on your speed level, this is especially important when yo brake abruptly.