SOLUTION: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 32ft in 8 seconds. When she runs with the sidewalk's motion,

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Question 975083: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels
32ft
in
8
seconds. When she runs with the sidewalk's motion, she travels
120ft
in
12
seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the rate the child runs and Let represent the speed of the walkway. Since distance equals rate times time, rate must equal distance divided by time. When running against the walkway, the net rate is . When running with the walkway, the net rate is .

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Solve the two by two linear system for and .

John

My calculator said it, I believe it, that settles it