The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 93ft forward on the moving sidewalk in the same time it takes to walk 12ft on a non moving sidewalk in the oppsite direction. At what rate would a person walk on a nonmoving sidewalk?

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To find the rate at which a person would walk on a non-moving sidewalk, we can set up an equation based on the given information.

Let's say the rate at which a person walks on a non-moving sidewalk is x ft/sec.

When walking on a moving sidewalk, the person essentially moves at the sum of their walking speed and the speed of the moving sidewalk. So, when moving forward, the person's effective speed is x + 2 ft/sec.

When walking on a non-moving sidewalk in the opposite direction, the person's effective speed is the difference between their walking speed and the speed of the moving sidewalk. So, when moving in the opposite direction, the person's effective speed is x - 2 ft/sec.

Given that the person can walk 93 ft forward on the moving sidewalk in the same time it takes to walk 12 ft on a nonmoving sidewalk in the opposite direction, we can set up the following equation:

93 / (x + 2) = 12 / (x - 2)

Now, we can solve this equation to find the value of x, which represents the rate at which a person would walk on a non-moving sidewalk.

To do that, we can cross-multiply and then solve for x.

93(x - 2) = 12(x + 2)

93x - 186 = 12x + 24

81x = 210

x = 210 / 81

x ≈ 2.59 ft/sec

Therefore, a person would walk at approximately 2.59 ft/sec on a non-moving sidewalk.