SOLUTION: A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 78 ft in 13 seconds. When he runs with the sidewalk's motion, he trave

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 78 ft in 13 seconds. When he runs with the sidewalk's motion, he trave      Log On


   

Question 934766: A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 78 ft in 13 seconds. When he runs with the sidewalk's motion, he travels 80 ft in 8 seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = speed of the child on still sidewalk
y = speed of moving sidewalk
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s = d/t
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against the sidewalk's motion:
x - y = 78/13
x - y = 6
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with the sidewalk's motion:
x + y = 80/8
x + y = 10
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put the system of linear equations into standard form
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x - y = 6
x + y = 10
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = speed of the child on still sidewalk = 8 ft/sec
y = speed of moving sidewalk = 2 ft/sec
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