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?

Question

Kiley Austin

Mathematics

15 December, 06:50

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?

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Answers (1)

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Chandler Gillespie · 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