How to count hours

I cannot understand why Microsoft doesn't ecognize, and a provide a Time variable of the Time Interval type.

5 - 2 = 3. Is 3 an interval number or an absolute number?

... want a sum of all the individual time segments, Excel seems to be uncapble ...

Excel is very capable of this and people do it routinely, but the information you're providing isn't getting you any closer to finding out how.