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 is 4 ft/sec

The speed of the moving walkway is 2 ft/sec 

Answer 2

Answer:

The traveler is moving  $3 ft / sec$and the walkway at $2 ft / sec.$

Step-by-step explanation:

Given: 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.

To find: Traveler's speed off the​ walkway, The speed of the moving​ walkway

Solution:

Let X be the speed of the traveler, and let W be the speed of the walkway:

$X - W = 1\\X + W = 5$

(subtract the speed of the walkway when the traveler is moving against it, add it when the traveler is moving with it)

add the two equations together:

$(X - W) + (X + W) = 1 + 5\\2X = 6\\X = 3$

Use either original equation to get $W = 2$

So the traveler is moving at $3 ft / sec$and the walkway at $2 ft / sec.$