According to the spaceship's passengers, the journey took 11.2 hours.
In reality, most of interstellar space is located within our solar system. Voyager 1 will need around 300 years to get to the inner edge of the Oort Cloud, and perhaps another 30,000 years to travel past it. The star that is currently closest to our solar system is Alpha Centauri.
The spacecraft will travel across in t = 15 hours.
Since this can be measured with a single clock at both locations, the time measured in S' frame is the correct time.
v = 10lh /15 h
v = 2/3 c
Because Δt° = Δς
Δς = Δt√1 - β²
Δς = (15h)√1 - (2/3)²
Δς = 11.2 h
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