document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=525096>Question 525096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At the airport, Cheryl and Bill are walking to the gate (at the same speed) to catch their flight to Las Vegas. Since Bill wants a window seat, he steps onto the moving sidewalk and continues to walk while Cheryl uses the stationary walkway. If the sidewalk moves at 1 mps and Bill saves 50 seconds covering the 300-meter distance, 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 #348058 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At the airport, Cheryl and Bill are walking to the gate (at the same speed) to catch their flight to Las Vegas.<BR>\n" );
document.write( " Since Bill wants a window seat, he steps onto the moving sidewalk and continues to walk while Cheryl uses the stationary walkway.<BR>\n" );
document.write( " If the sidewalk moves at 1 mps and Bill saves 50 seconds covering the 300-meter distance, what is their walking speed.<BR>\n" );
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document.write( "Let w = normal walking speed mps<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(w+1) = speed on the moving walkway<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "normal time - walkway time = 50 sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2Fw ALIGN=MIDDLE  ALT=\"300%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F%28%28w%2B1%29%29 ALIGN=MIDDLE  ALT=\"300%2F%28%28w%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50<BR>\n" );
document.write( "multiply by w(w+1), results<BR>\n" );
document.write( "300(w+1) - 300w = 50w(w+1)<BR>\n" );
document.write( "300w + 300 - 300w = 50w^2 + 50w<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "0 = 50w^2 + 50w - 300<BR>\n" );
document.write( "simplify, divide by 50<BR>\n" );
document.write( "w^2 + w - 6 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(w+3)(w-2) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "w = 2 mps, normal walking speed<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "Check this by finding the actual time of each walker<BR>\n" );
document.write( "300/2 = 150 sec<BR>\n" );
document.write( "300/3 = 100 sec<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "differ: 50 sec, confirms our solution<BR>\n" );
document.write( " </SPAN>\n" );
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