Waves broadcast at the beginning of 2013 would only reach 4LY out. For a radio signal to travel 2.5 billion light years it would need to have travelled for 2.5

Waves broadcast at the beginning of 2013 would only reach 4LY out. For a radio signal to travel 2.5 billion light years it would need to have travelled for 2.5 billion years since radio waves travel at the speed of light.