Question

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 1 ​ft/s against the walkway and  5 ft divided by s with the walkway. What is the​ traveler's speed off the​ walkway? What is the speed of the moving​ walkway?

Answer 1

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 $t-w=1..........(1)\\t+w=5.............(2)$

Adding (1) and (2), we get

$2t=6\\\Rightarrow\ t=3$

Subtract (2) from (1), we get

$2w=4\\\Rightarrow\ w=2$

Therefore, the​ traveler's speed off the​ walkway= 3 ft/s

The speed of the moving​ walkway= 2 ft/s