if you let the speed of light in a vacuum 300000k/p sec = plank light time 10-44 how long will it take me to travel 13.6 billion light years

I'm with you Chris - By definition it takes 1 year to travel a distance of 1 light-year when you are travelling at the speed of light!

Perhaps the questioner intended to travel at a different speed, but, if so, he/she didn't say!

I'm not a Physics major, but if the distance that light travels in 1 year = 1 light year, then the time it takes to travel 13.6 billion light years must just be 13.6 billion years ....

Maybe one of our other answerers (like, Alan??) can spot some "trick" here that I'm missing  !!!