document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=648464>Question 648464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THE SPEED OF A MOVING WALKAWAY IS TYPICALLY ABOUT 2.5 PER SECOND. WALKING ON SUCH A MOVING WALKAWAY, IT TAKES KAREN A TOTAL OF 40 SECONDS TO TRAVEL 50 FEET WITH THE MOVEMENT OF THE WALKAWAY AND THEN BACK AGAIN AGAINST THE MOVEMENT OF THE WALKAWAY. 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 #406858 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=406858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> THE SPEED OF A MOVING WALKAWAY IS TYPICALLY ABOUT 2.5 PER SECOND.<BR>\n" );
document.write( " WALKING ON SUCH A MOVING WALKAWAY, IT TAKES KAREN A TOTAL OF 40 SECONDS TO<BR>\n" );
document.write( " TRAVEL 50 FEET WITH THE MOVEMENT OF THE WALKAWAY AND THEN BACK AGAIN AGAINST<BR>\n" );
document.write( " THE MOVEMENT OF THE WALKAWAY.<BR>\n" );
document.write( " WHAT IS KAREN'S NORMAL WALKING SPEED?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let w = normal walking speed in ft/sec<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(w+2.5) = effective speed with the walkway<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(w-2.5) = effective speed against the walkway<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Time with + time against = 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( ":<BR>\n" );
document.write( "Multiply by (w+2.5)(w-2.5); results:<BR>\n" );
document.write( "50(w-2.5) + 50(w+2.5) = 40(w-2.5)(w+2.5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "50w - 125 + 50w + 125 = 40(w^2-6.25)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "100w = 40(w^2-6.25)<BR>\n" );
document.write( "divide both sides by 20<BR>\n" );
document.write( "5w = 2(w^2-6.25)<BR>\n" );
document.write( "5w = 2w^2 - 12.5<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "2w^2 - 5w - 12.5 = 0<BR>\n" );
document.write( "Use the quadratic formula to find w; a=2; b=-5; c=-12.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I got a positive solution ~ 4.045 ft/sec, normal walking speed, see what you get </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );