document.write( "Question 662247: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 60 in 10 seconds. When she runs with the sidewalk's motion, she travels the same distance in 5 seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk? \n" ); document.write( "
Algebra.Com's Answer #412145 by lwsshak3(11628)\"\" \"About 
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A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 60 in 10 seconds. When she runs with the sidewalk's motion, she travels the same distance in 5 seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
\n" ); document.write( "**
\n" ); document.write( "let x=rate of child on a still sidewalk
\n" ); document.write( "let c=rate of moving sidewalk
\n" ); document.write( "x+c=rate of child walking with sidewalk's motion
\n" ); document.write( "x-c=rate of child walking against sidewalk's motion
\n" ); document.write( "distance/rate=travel time (same for both directions)
\n" ); document.write( "60/(x+c)=5
\n" ); document.write( "60/(x-c)=10
\n" ); document.write( "..
\n" ); document.write( "5x+5c=60
\n" ); document.write( "10x-10c=60
\n" ); document.write( "..
\n" ); document.write( "x+c=12
\n" ); document.write( "x-c=6
\n" ); document.write( "add
\n" ); document.write( "2x=18
\n" ); document.write( "x=9
\n" ); document.write( "c=12-x=3
\n" ); document.write( "rate of child on a still sidewalk=9 in/sec
\n" ); document.write( "rate of moving sidewalk=3 in/sec\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );