Well, the five minutes are over rolleyes
Did you see that three tourists want to visit "NLTT 15714"? But the first tourist wants to see it last, for the second tourist it is the third destination and the for the third tourist it is the second destination. In which order do you visit the locations so that you don't need to go there thrice and without zigzag-ing all over the galaxy (because that would not be the shortest route than, wouldn't it).
Ah yes, let's assume that the point of origin is Sol. But that doesn't matter and I (maybe wrongly) assumed that you had done tourists missions and thus knew that most of them start at one location and want to get back to that same direction.
So... one does not own 10 Saud Kruger ships and not haul talking cargo around the galaxy...
Granted it has been close to a year since I've seen a mission board - been out on the rim of the galaxy, actually still am out on the rim of the galaxy, and probably will be until around the time Fleet Carriers are released, then I'll have a reason to come back in... but that aside...
Passengers didn't usually care about the order in which they see their sights, so long as they saw them, so backtracking never mattered.
That also was not specified in the original posting:
Very good. Then please solve the following task.
Here are the mission destinations for 4 travelers:
- NGC 6188 Sector LC-V c2-28 / UBV 6193 / CM Draconis / NLTT 15714
- Colonia / Omicron-2 Eridani / NLTT 15714 / Charick Drift
- LAWD 15 / NLTT 15714 / Geras
- LHS 151 / LAWD 27 / BD+41 4004/ Sadr Region Sector GW-W c1-22
What is the shortest route under the restriction that tourists need to see the destinations in the given order?
Ah yes, you have 5 minutes to figure it out. If you manage, I'll add a fifth visitor. If you manage that, too, I'll add a sixth … and so on.
Given some comments (in general) I wonder sometimes how we ever made it to the moon … Nah! how humanity ever made it down from the trees … Nah! Up into the trees in the first place.
Quoted to prevent retroactive edits.
Not being in front of the game, and assuming a start point of Sol...
Sol -> LHS 151 -> LAWD 15 -> LAWD 27 -> Omicron-2 Eridani -> Geras -> NLTT 15714 -> Charick Drift -> CM Draconis -> UBV 6193 -> Sadr Region Sector GW-W c1-22 -> BD+41 4004 -> NGC 6188 Sector LC-V c2-28 -> Colonia -> Sol
However, being the practical sort I am, I would follow this route:
Sol -> Colonia -> NGC 6188 Sector LC-V c2-28 -> BD+41 4004 -> Sadr Region Sector GW-W c1-22 -> UBV 6193 -> CM Draconis -> Charick Drift -> NLTT 15714 -> Geras -> Omicron-2 Eridani -> LAWD 27 -> LAWD 15 -> LHS 151 -> Sol
Should be the most expedient route, and by knocking out the longest part of the trek first, and following the path backwards, you will make good time through your remaining points once you complete the most distant part of the trip.
Feel free to check my numbers, and don't impose time-limits and act snide - I'm doing this at work, on my break, in my head.