Answer: The traveler's speed off the walkway= 3 ft/s
The speed of the moving walkway= 2 ft/s
Step-by-step explanation:
Given: A traveler is walking on a moving walkway in an airport.
Let 't' be the traveler's speed off the walkway and 'w' be the speed of walkway.
Then the traveler's ground speed against the walkway (t-w)= 1 ft/s
And the traveler's ground speed with the walkway (t+w)= 5 ft/s
thus we get the following equations [tex]t-w=1..........(1)\\t+w=5.............(2)[/tex]
Adding (1) and (2), we get
[tex]2t=6\\\Rightarrow\ t=3[/tex]
Subtract (2) from (1), we get
[tex]2w=4\\\Rightarrow\ w=2[/tex]
Therefore, the traveler's speed off the walkway= 3 ft/s
The speed of the moving walkway= 2 ft/s
