document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990990>Question 990990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jim and Derry run a 1.5 mile loop starting at the same time and place. Jim runs an 8.5 minute mile while Derry runs a 7 minute mile. How far has Jim ran when he is caught by Derry? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611000 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=611000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Jim and Derry run a 1.5 mile loop starting at the same time and place.<BR>\n" );
document.write( " Jim runs an 8.5 minute mile while Derry runs a 7 minute mile.<BR>\n" );
document.write( " How far has Jim ran when he is caught by Derry?<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8.5 ALIGN=MIDDLE  ALT=\"1%2F8.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/min is J's running speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/min is D's running speed<BR>\n" );
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document.write( "The loop is 1.5 mi long, therefore when D catches up with J, he will have run 1.5 mi further than J<BR>\n" );
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document.write( "let t = time in min for this to happen<BR>\n" );
document.write( "Write a distance equation, dist = speed * time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8.5 ALIGN=MIDDLE  ALT=\"1%2F8.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >t + 1.5<BR>\n" );
document.write( "the least common multiple of the denominators is 59.5 (7*8.5), multiply equation by that and you have<BR>\n" );
document.write( "8.5t = 7t + 59.5(1.5)<BR>\n" );
document.write( "8.5t - 7t = 59.5(1.5)<BR>\n" );
document.write( "1.5t = 59.5(1.5<BR>\n" );
document.write( "Divide both sides by 1.5<BR>\n" );
document.write( "t = 59.5 min for D to catch J<BR>\n" );
document.write( "\"How far has Jim ran when he is caught by Derry?\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8.5 ALIGN=MIDDLE  ALT=\"1%2F8.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 59.5 = 7 miles run by Jim when he is caught<BR>\n" );
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document.write( "Interesting that Derry has run 8.5 mi when he catches Jim,1.5 mi further <BR>\n" );
document.write( "  </SPAN>\n" );
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