Answer
The traveler's speed off the walkway is 4ft/s, and the speed of the moving walkway is 2ft/s.
Work Step by Step
Let x = the traveler's speed off the walkway and let y = the speed of the moving walkway.
We have the system:
$x-y=2$
$x+y=6$
Use elimination to solve for x.
$2x=8$
$x=4$
$\rightarrow y=2$
The traveler's speed off the walkway is 4ft/s, and the speed of the moving walkway is 2ft/s.