SOLUTION: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 40 ft in 8 seconds. When she runs with the sidewalk's motion, she tr
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Question 927508: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 40 ft in 8 seconds. When she runs with the sidewalk's motion, she travels 132 ft in 12 seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk? Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the 2 speeds.
The child's rate is the average of them.
The sidewalk's rate is the difference between 1 of the 2 speeds and her speed.
You can put this solution on YOUR website! Let = child's speed on a still sidewalk in ft/sec
Let = speed of the moving sidewalk in ft/sec
----------------------------------------------- = child's speed in the same direction
as the moving sidewalk = child's speed moving opposite to the
direction of the moving sidewalk
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Add the equations
and
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The child's speed on a still sidewalk is 8 ft/sec
The speed of the moving sidewalk is 3 ft/sec
