A traveler is walking on a moving walkway in an airport. the traveler must walk back on the walkway to get a bag he forgot. the traveler's ground speed is 2 ft/s against the walkway and 6 ft/s with the walkway. what is the traveler's speed off the walkway? What is the speed of the moving walkway.
We have two equations, where w is the speed of the walkway and t is the speed of the traveler.
Now plug (3) into (2)
(w + 2) + w = 6
Combine like terms:
2w + 2 = 6
Using our equation solver, we get w = 2
Plug this into (1)
t - 2 = 2
Add 2 to each side
t = 4
We have two equations, where w is the speed of the walkway and t is the speed of the traveler.
- t - w = 2
- t + w = 6
- Rearrange (1) to solve for t: t = w + 2
Now plug (3) into (2)
(w + 2) + w = 6
Combine like terms:
2w + 2 = 6
Using our equation solver, we get w = 2
Plug this into (1)
t - 2 = 2
Add 2 to each side
t = 4