Let's say I've got a length of solid material that is one light year long. It's just hanging there in space, between galaxies, not affected by gravity enough at any point along its length to be twisted, bent, whatever. Let's also say that it is resistent to flexing.
I'm at one end of this impossibly-existing rod, and you are at the other. If I push my end toward you by an inch, how long would it take for your end to move an inch toward you? (Let's say there's a rocket engine on my end that does the pushing)
(If this is an impossible question to answer since the set up for it is impossible, just say so. But please note what about it is impossible.)
Dave