document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=406607>Question 406607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at a constant speed of 2.8 m/s relative to the surface of the walkway, you decide to try to determine the speed of the walkway itself. You watch the child run on the entire 23-m walkway in one direction, immediately turn around, and run back to his starting point. The entire trip takes a total elapsed time of 29 s. Given this information, what is the speed of the moving walkway relative to the airport terminal?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286863 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at a constant speed of 2.8 m/s relative to the surface of the walkway, you decide to try to determine the speed of the walkway itself. You watch the child run on the entire 23-m walkway in one direction, immediately turn around, and run back to his starting point. The entire trip takes a total elapsed time of 29 s. Given this information, what is the speed of the moving walkway relative to the airport terminal?<BR>\n" );
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document.write( "let x=speed of walkway<BR>\n" );
document.write( "then (2.8+x)= speed of child moving in direction of walkway<BR>\n" );
document.write( "then (2.8-x)= speed of child moving against direction of walkway<BR>\n" );
document.write( "Travel time=distance/speed<BR>\n" );
document.write( "travel time of child moving in direction of walkway=23/(2.8+x)<BR>\n" );
document.write( "travel time of child moving in direction of walkway=23/(2.8-x)<BR>\n" );
document.write( "total elapsed time given=29s<BR>\n" );
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document.write( "23/(2.8+x)+23/(2.8-x)=29<BR>\n" );
document.write( "LCD=(2.8+x)(2.8-x)<BR>\n" );
document.write( "23(2.8-x)+23(2.8+x)=29(2.8+x)(2.8-x)<BR>\n" );
document.write( "23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)<BR>\n" );
document.write( "23(2.8+2.8)/29=2.8^2-x^2<BR>\n" );
document.write( "x^2=(2.8)^2-(23*5.6)/29)=3.4<BR>\n" );
document.write( "x=sqrt(3.4)=1.84m/s<BR>\n" );
document.write( "ans: Speed of walkway=1.84 m/s\r<BR>\n" );
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