Caius L. answered • 12/15/15

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

X - W = 3

X + W = 7

(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) = 3 + 7

2X = 10

X = 5

Use either original equation to get W = 2

X - W = 3

X + W = 7

(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) = 3 + 7

2X = 10

X = 5

Use either original equation to get W = 2

So the traveler is moving at 5 ft / sec and the walkway at 2 ft / sec.