document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232633>Question 232633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The moving sidewalk moves 1.8ft/sec. Walking on the moving sidewalk, Roslyn travels 105ft forward in the same time it takes to travel 51ft in the opposite direction. How fas does Roslyn walk on a nonmoving sidewalk?<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 #171868 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=171868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The moving sidewalk moves 1.8ft/sec.<BR>\n" );
document.write( "Walking on the moving sidewalk, Roslyn travels 105ft forward in the same time it takes to travel 51ft in the opposite direction.<BR>\n" );
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document.write( "How fast does Roslyn walk on a nonmoving sidewalk?<BR>\n" );
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document.write( "The moving sidewalk is like a current in a river.<BR>\n" );
document.write( "Roslyn's speed is her walking rate = \"w\"<BR>\n" );
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document.write( "current = 1.8 ft/sec<BR>\n" );
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document.write( "With the current DATA:<BR>\n" );
document.write( "distance = 105 ft ; rate = (w + 1.8) ft/sec ; time = d/r = 105(w+1.8) seconds<BR>\n" );
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document.write( "Against the current DATA:<BR>\n" );
document.write( "distance 51 ft ; rate = (w-1.8)ft/sec ; time = d/r = 51/(w-1.8) seconds<BR>\n" );
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document.write( "Equation: <BR>\n" );
document.write( "time with = time against<BR>\n" );
document.write( "105/(w+1.8) = 51/(w-1.8)<BR>\n" );
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document.write( "Cross-multiply to solve.<BR>\n" );
document.write( "105(w-1.8) = 51(w+1.8)<BR>\n" );
document.write( "105w - 189 = 51w + 91.8<BR>\n" );
document.write( "54w = 280.8<BR>\n" );
document.write( "w = 5.2 ft/sec (Roslynn's speed on a nonmoving sidewalk)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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