Hmmph. Well, I prefer the "...Time and Space" to "...Space and Time". The first episodes had the characters time traveling to 100,000 BC, followed by a space adventure (with perhaps some time travel, too) to Skaro.
Yes, but I gather that "an adventure in space and time" is how the show was originally described in the Radio Times
back in 1963. That's why the movie has that title. There was also a 1999 retrospective documentary called Adventures in Space and Time
, no doubt referencing the same thing.