document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=545857>Question 545857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two motorists A and B race around a circular mile track starting at the same positions and at the same time. When traveling in the opposite, they are together every 18 seconds, and when traveling in the same direction, they are together every 90 seconds. Find their speeds in mph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355810 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=355810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two motorists A and B race around a circular mile track starting at the same positions and at the same time. <BR>\n" );
document.write( "When traveling in the opposite, they are together every 18 seconds, and when traveling in the same direction, they are together every 90 seconds.<BR>\n" );
document.write( " Find their speeds in mph.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = speed of A<BR>\n" );
document.write( "Let b = speed of B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "They want the answer in mph, change seconds to hours<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F3600 ALIGN=MIDDLE  ALT=\"18%2F3600\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .005 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F3600 ALIGN=MIDDLE  ALT=\"90%2F3600\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .025 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write a distance equation for each scenario<BR>\n" );
document.write( ".005(a + b) = 1, (opposite directions)<BR>\n" );
document.write( ".025(a - b) = 1, (same direction)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In each equation: divide both sides by .005, divide the 2nd equation by .025, results:<BR>\n" );
document.write( "a + b = 200<BR>\n" );
document.write( "a - b = 40<BR>\n" );
document.write( "------------adding eliminates b, find a<BR>\n" );
document.write( "2a = 240<BR>\n" );
document.write( "a = 240/2<BR>\n" );
document.write( "a = 120 mph for A<BR>\n" );
document.write( "and<BR>\n" );
document.write( "a + b = 200<BR>\n" );
document.write( "120 + b = 200<BR>\n" );
document.write( "b = 200 - 120<BR>\n" );
document.write( "b = 80 mph for B<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );