document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668883>Question 668883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At O Haire Airport in Chicago, Cheryl and Will are walking to their gate (at the same Speed) to catch their flight to Akron, Ohio. Since Will want a window seat he steps onto the moving sidewalk and continues to walk while Cheryl uses the stationary sidewalk. if the sidewalk moves at 1 meter per second and Will saves 50 Seconds covering the 300 meter building what is their walking speed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415917 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=415917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since Will want a window seat he steps onto the moving sidewalk and continues to walk while Cheryl uses the stationary sidewalk. if the sidewalk moves at 1 meter per second and Will saves 50 Seconds covering the 300 meter building what is their walking speed<BR>\n" );
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document.write( "Note: The assumption seems to be that they walk at the same rate.<BR>\n" );
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document.write( "Will's DATA:<BR>\n" );
document.write( "rate = 1+x meters/sec ; distance 300 meters ; time = 300/(1+x) seconds<BR>\n" );
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document.write( "Cheryl's DATA:<BR>\n" );
document.write( "rate = x meters/sec ; distance = 300 meters ; time = 300/x seconds<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Cheryl time - Will time = 50 seconds<BR>\n" );
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document.write( "300/x - 300/(1+x) = 50<BR>\n" );
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document.write( "1/x - 1/(1+x) = 1/6<BR>\n" );
document.write( "6(1+x) - 6x = x(1+x)<BR>\n" );
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document.write( "x^2+x-6 = 0<BR>\n" );
document.write( "(x+3)(x-2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 2 meters/sec (Their walking speed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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