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 7 ft/s 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

let t = traveler's normal walking speed
let w = walkway speed

Write an equation for each scenario
t - w = 1

t + w = 7

 t=1+w

(1+w)+w=7

1+2w=7

w=3 ​ft/s walkway speed

t=1+w=4 ​ft/s travelers speed