"How far does it take..." does not sound right. The answer is "long" regardless of any context here.
"How far do you have to travel to get to work?" Would be the way to ask the question if distance was the focus.
Edit: Something not sounding right isn't enough of a reason so here's another way to think about this. Things "take" time, not distance.
It takes a minute to walk there.
Correct.
It takes a meter to walk there.
Incorrect.
"We can’t afford to buy a new car. Nevertheless, my wife wants to continue to look for one."
Nevertheless is an adverb usually following a concession make sense in the sentence, consequently can be used, and conveys the meaning that second sentence follows a concession. As an adverb it also modifies and tells us about the second sentence.
"We can’t afford to buy a new car. But, my wife wants to continue to look for one."
But is a conjunction which conveys the meaning of a generic opposition, contrast: even if we can’t afford to buy a new car, my wife still wants to continue to look for one.
"Sales of new cars have been down the past six month, nevertheless, this is expected to change soon."
Nevertheless conveys the opposition of the second sentence against first sentence, and tells us about the status of the second sentence which is going to change.
"Sales of new cars have been down the past six month, but, this is expected to change soon."
But as a conjunction transmits a simple, generic opposition (contrast) sense.
As a result both words can be used, nevertheless they transmit different meanings and have different functions.
Best Answer
This is sense 10 in Collins:
Here, the sentence means "it will only take a moment". In other words, it won't take more than one moment.