SOLUTION: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 56ft in 8 seconds. When she runs with the sidewalk's motion, she tra

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Question 1128724: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 56ft in 8 seconds. When she runs with the sidewalk's motion, she travels 120ft in the same amount of time. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +r+ = child rate of running
Let +s+ = rate of the sidewalk
+r+%2B+s+=+120%2F8+ ft/sec
+r+-+s+=+56%2F8+ ft/sec
-------------------------------
+r+%2B+s+=+15+
+r+-+s+=+7+
----------------- Add
+2r+=+22+
+r+=+11++
and
+11+%2B+s+=+15+
+s+=+4+
---------------------
Child's rate is 11 ft/sec
Moving sidewalk's rate is 4 ft/sec