SOLUTION: Problem Page A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 60ft in 15 seconds. When he runs with the sidewalk's mot

Question 1078299: Problem Page
A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 60ft in 15 seconds. When he runs with the sidewalk's motion, he travels 132ft in 11 seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
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c + s = 132/11   (1)   (the rate traveling with sidewalk)
c - s = 60/15    (2)   (the rate traveling against sidewalk)

Or

c + s = 11,      (1')
c - s =  4       (2')

Add (1') and (2'):

2c = 15  --->  c =  = 7.5 ft per second is the rate of the child on a still sidewalk.

===>  s = 11-7.5 = 3.5 ft per second is the rate of sidewalk.

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