document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=882551>Question 882551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP PLEASE...I need someone to break this down and explain this to me!<BR>\n" );
document.write( "The speed of a moving walkway is typically about 2.5 ft/sec. Walking on such a moving walkway, it takes Karen a total of 40 seconds to travel 50 ft with the movement of the walkway and then back again againist the movement of the walkway. What is Karen's normal 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 #532921 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=532921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The speed of a moving walkway is typically about 2.5 ft/sec.<BR>\n" );
document.write( " Walking on such a moving walkway, it takes Karen a total of 40 seconds to travel 50 ft with the movement of the walkway<BR>\n" );
document.write( " and then back again against the movement of the walkway. <BR>\n" );
document.write( "What is Karen's normal walking speed?<BR>\n" );
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document.write( "Let w = the walking speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(w+2.5) = effective speed going with the walkway<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(s-2.5) = effective speed going against<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "With time + against time = 40 sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F%28%28w%2B2.5%29%29 ALIGN=MIDDLE  ALT=\"50%2F%28%28w%2B2.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F%28%28w-2.5%29%29 ALIGN=MIDDLE  ALT=\"50%2F%28%28w-2.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40<BR>\n" );
document.write( "multiply by (w+2.5)(w-2.5), cancel the denominators and you have<BR>\n" );
document.write( "50(w-2.5) + 50(w+2.5) = 40(w+2.5)(w-2.5)<BR>\n" );
document.write( "50w - 125 + 50w + 125 = 40(w^2 - 6.25)<BR>\n" );
document.write( "100w = 40w - 250<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "0 = 40w^2 - 100w - 250<BR>\n" );
document.write( "simplify, divide by 10<BR>\n" );
document.write( "4w^2 - 10w - 25 = 0<BR>\n" );
document.write( "Use the quadratic formula to find w, only positive solution will make sense<BR>\n" );
document.write( "I got a positive solution of 4.045 ft/sec for K's walking speed<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this out by finding the time each way should total 40 sec<BR>\n" );
document.write( "50/(4.045+2.5) =<BR>\n" );
document.write( "50/(4.045-2.5) =<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Did explain this it to you?  Let me know. ankor@att.net \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );