document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998446>Question 998446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two skatere are racing toward the finish line of a race.  The first skater has a 40 meter lead and is traveling at a rate of 12 meters per second.  The second skater is traveling at a rate of 14 meters per second.  How long will it take the second skater to pass the second skater?\r<BR>\n" );
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document.write( "Y axis meter<BR>\n" );
document.write( "X axis seconds per meter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616399 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=616399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two skaters are racing toward the finish line of a race.<BR>\n" );
document.write( " The first skater has a 40 meter lead and is traveling at a rate of 12 meters per second.<BR>\n" );
document.write( " The second skater is traveling at a rate of 14 meters per second.<BR>\n" );
document.write( " How long will it take the second skater to pass the second skater?<BR>\n" );
document.write( "Y axis meter<BR>\n" );
document.write( "X axis seconds per meter<BR>\n" );
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document.write( "The first skater equation<BR>\n" );
document.write( "y = 12x + 40 (red)<BR>\n" );
document.write( "the second skater equation<BR>\n" );
document.write( "y = 14x (green)<BR>\n" );
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document.write( "Graphically<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+30%2C+-100%2C+400%2C+12x%2B40%2C+14x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+30%2C+-100%2C+400%2C+12x%2B40%2C+14x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "point of intersection is time and distance that the 2nd skater overtakes the 1st<BR>\n" );
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document.write( "Difficult to see on the graph but we can solve it y=y, therefore<BR>\n" );
document.write( "14x = 12x + 40<BR>\n" );
document.write( "14x - 12x = 40<BR>\n" );
document.write( "2x = 40<BR>\n" );
document.write( "x = 40/2<BR>\n" );
document.write( "x = 20 seconds for skater 2 to pass skater 1  </SPAN>\n" );
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