DateString.cs

public void Main()
{
	var config = new MapperConfiguration(cfg => {	
		cfg.CreateMissingTypeMaps = false;
		cfg.CreateMap<DateTimeDetails, PickupDetails>().ForMember(dest => dest.time, opt => opt.MapFrom(src => src));
		cfg.CreateMap<DateTime?, DateString>().ConvertUsing(src => new DateString { Value = src.HasValue ? src.Value.ToString("yyyyMMdd") : String.Empty});
		cfg.CreateMap<DateTimeDetails, TimeString>()
			.ForMember(dest => dest.timeZoneOffset, opt => opt.MapFrom(src => src.TimeZoneOffset.ToString()))
			.ForMember(dest => dest.Value, opt => opt.MapFrom(src => src.Time));
	});
	config.AssertConfigurationIsValid();
	var mapper = config.CreateMapper();
	var srcObj = new DateTimeDetails{ Time = "06:43:25", TimeZoneOffset = -6 };
	//Toggle this with one map then the other
	//srcObj.Date = new DateTime(2018, 10, 11);
	try
	{		
		mapper.Map<PickupDetails>(srcObj).Dump();
	}
	catch(Exception ex)
	{
		ex.ToString().Dump();;
	}
}
public class DateTimeDetails
{
    public DateTime? Date { get; set; }
    public String Time { get; set; }
    public Int32 TimeZoneOffset { get; set; }
}

public class PickupDetails
{
    public TimeString time { get; set; }
    public DateString date { get; set; }
}

public class DateString
{
	public String Value { get; set; }	
}

public class TimeString
{
	public String timeZoneOffset { get; set; }
	public String Value { get; set; }
}