Here is how time travel works, explained in a way I hope all of you can "get".
It's the year 2500. You are on earth in your space craft, and you take off. Your space craft accelerates at the rate of 1 lightyear/year per year.
so you travel, with constant acceleration, for 10 years.
Then you switch to reverse thrust to slow down, and constant deceleration for 10 years.
After 20 years you have traveled 100 light years.
Then you turn around and do the exact same thing again, heading back to earth.
Over 40 years you have gone 200 light years... isn't that moving faster than the speed of light?
Well, sort of, not really. You see when you land on earth, it will be the year 2700~, + a bit of time. as if some 200~ years have passed, and it will seem to the people on earth that while you were very close to the speed of light, you did not travel faster than it. While for you, only 40 years have passed- in effect you have traveled some 160 years into the future.