document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007829>Question 1007829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels <BR>\n" );
document.write( "91ft in 13 seconds. When he runs with the sidewalk's motion, he travels <BR>\n" );
document.write( "195ft 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623744 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the child's normal rate, r.<BR>\n" );
document.write( "Call the rate of the walkway, w.<BR>\n" );
document.write( "(r + w)(13) = 195<BR>\n" );
document.write( "(r - w)(13) = 91<BR>\n" );
document.write( "and<BR>\n" );
document.write( "13r + 13w = 195<BR>\n" );
document.write( "13r - 13w = 91<BR>\n" );
document.write( "Now add these and get<BR>\n" );
document.write( "26r = 286<BR>\n" );
document.write( "r = 11 ft/s<BR>\n" );
document.write( "By plugging in we find<BR>\n" );
document.write( "w = 4 ft/s </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );