Some science fiction trivia:
The book Contact by Carl Sagan (made into a Jodie Foster film of the same name) had aliens detect the signals from Adolf Hitler speeches in 1936. It would be 2060 before those signals hit that planet.
Now, in the Star Trek universe, if the voyager Probe (as happened in Star Trek the Motion Picture) were to travel there and find machine lifeforms that enhanced it, the math goes as follows: launching in 1977, in 2025 it is now 0.00000042 light-years away from Earth. At its current velocity, it will take about 18000 years to travel 1 light year, or 2.2 million years if it were heading for that planet.
How does the Hitchhiker's guide quote go? Space is really really really really big, like really really big. To put it in perspective, if we made a to-scale model of our solar system, and earth was the size of a marble, Neptune would be over 5 kilometers away. If we added that new planet to the model, the distance would be ~1.4 million kilometers away if Earth was the size of a marble on that scale, The distance around the earth is just a hair above 40,000 km, so about 35 times that distance, or pulling a Forrest Gump and running from New York to LA about 360 times.