document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236649>Question 236649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Max was crossing a narrow bridge. When he was 3/5 of the way across, he saw a truck approachen the bridge 600 yards away from him and heading right toward him. He turned and ran back. The truck continued at the same speed and missed him by a hair. If Max had tried to cross the bridge, the truck also would have just missed him. How long was the bridge? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174175 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=174175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Max was crossing a narrow bridge.<BR>\n" );
document.write( " When he was 3/5 of the way across, he saw a truck approachen the bridge 600 yards away from him and heading right toward him. <BR>\n" );
document.write( "He turned and ran back. <BR>\n" );
document.write( "The truck continued at the same speed and missed him by a hair. <BR>\n" );
document.write( "If Max had tried to cross the bridge, the truck also would have just missed him.<BR>\n" );
document.write( " How long was the bridge?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "|-------3x-------Max-----2x-----|_____(600-2x)__________Truck <BR>\n" );
document.write( ":<BR>\n" );
document.write( "5x = length of the bridge<BR>\n" );
document.write( "Truck is 600 ft from Max, which is (600-2x) from bridge <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the ratio of the truck dist to Max dist, is the same in both situations<BR>\n" );
document.write( "Situation 1<BR>\n" );
document.write( "Max covers 3x while truck covers 600+3x<BR>\n" );
document.write( "Situation 2 <BR>\n" );
document.write( "Max covers 2x while truck covers 600-2x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A ratio equation: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28600-2x%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28600-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%28600%2B3x%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%28600%2B3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "2x(600+3x) = 3x(600-2x)<BR>\n" );
document.write( "1200x + 6x^2 = 1800x - 6x^2<BR>\n" );
document.write( "6x^2 + 6x^2 + 1200x - 1800x = 0<BR>\n" );
document.write( "12x^2 - 600x = 0<BR>\n" );
document.write( "12x(x - 50) = 0<BR>\n" );
document.write( "x = 50, the bridge is 5x: 5 * 50 = 250 yds </SPAN>\n" );
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