Problem 27.5 When the moving sidewalk at the airport is broken, as it often seem

Question

Problem 27.5

When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 60 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 80 s to travel the same distance.

Part A

How long will it take you to travel from the gate to baggage claim if you walk while riding on the moving sidewalk?

Express your answer using two significant figures.

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Problem 27.5

When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 60 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 80 s to travel the same distance.

Part A

How long will it take you to travel from the gate to baggage claim if you walk while riding on the moving sidewalk?

Express your answer using two significant figures.

SubmitMy AnswersGive Up

Explanation / Answer

The moving sidewalk speed with respect to the ground plus your walking speed with respect to the moving sidewalk will be the equivalent speed. Let the distance be d, the moving sidewalk be ms and walking be w
Vms = d/80
Vw = d/60
Vms + Vw = d(1/80 + 1/60) = d(6/480+8/480) = [7d/240]
How does that compare to walking speed? [7d/240]/[d/60] = 1.75
Walking on the moving sidewalk is then 1.75 times faster than walking.
Therefore, the time required will be 60s/1.75 which means
the time required will be 60/1.75 = 34.3s

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