Originally Posted by
pilotinsky
If I flew w/student to an airport that took 25nm to get there and came back (rountrip total distand 50nm), that will qualify as xc time for ATP

Nope, it needs to be 50nm away from the departure airport, but you don't have to land.
Originally Posted by
pilotinsky
Also, if my airplane is traveling 100kt and I flew 1 hr (100 nm) w/out secondary airport, that can count as xc

Yes, you can count that for the ATP certificate only. For point-to-point cross country time (i.e. for Part 135 PIC mins), you need to have simply landed at a different airport; there are no distance requirements.