document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055819>Question 1055819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Toronto's Pearson International Airport has a high-speed version of a moving walkway.  If Liam walks while riding this moving walkway, he can travel 280 meters in 60 seconds less time than if he stands still on the walkway.  If Liam walks at a normal rate of 1.5 meters per second, what is the speed of the walkway?\r<BR>\n" );
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document.write( "I have the problem set up as:<BR>\n" );
document.write( "Liam-280meters=1.5meters/sec(t-60sec).  Now I'm stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670975 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> He walks 1.5 m/sec<BR>\n" );
document.write( "The walkway has x m/sec speed<BR>\n" );
document.write( "280/(1.5+x) is the time it takes him to do it while walking.  The units are seconds.<BR>\n" );
document.write( "That is 60 seconds fewer than 280/x, the time it takes him without walking<BR>\n" );
document.write( "Therefore 280/(1.5+x)+60=(280/x), meaning that the time by walking is 60 seconds less than by standing.<BR>\n" );
document.write( "(280 +90+60x)/(1.5+x)=(280/x)<BR>\n" );
document.write( "or (370+60x)/(1.5+x)=(280/x)<BR>\n" );
document.write( "cross-multiply<BR>\n" );
document.write( "420+280x=370x+60x^2<BR>\n" );
document.write( "60x^2+90x-420=0; now, divide by 30<BR>\n" );
document.write( "2x^2+3x-14=0<BR>\n" );
document.write( "(2x+7   ) (x -2   )=0<BR>\n" );
document.write( "x= 2 m/sec, only positive root.  ANSWER<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "It takes him 140 sec to go completely assisted. 280 m/2 m/sec<BR>\n" );
document.write( "If he walks, he is going 3.5 m/sec, combined speed<BR>\n" );
document.write( "That takes 280/3.5 or 80 seconds to go 280 meters.<BR>\n" );
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