document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408347>Question 408347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To train for a marathon, Mei runs an 18-mile course at constant speed. If she doubles her usual speed, she can compete the course in an hour and a half less than her usual time. What is Mei's usual speed and her usual time to compete the course </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287741 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=287741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mei runs an 18-mile course at constant speed.<BR>\n" );
document.write( " If she doubles her usual speed, she can compete the course in an hour and a half less than her usual time. <BR>\n" );
document.write( "What is Mei's usual speed and her usual time to compete the course?<BR>\n" );
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document.write( "Change 1 hr and a half to 1.5 hrs<BR>\n" );
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document.write( "Let s = the normal speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2s = double the normal speed<BR>\n" );
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document.write( "Write a time equation, Time = dist/speed<BR>\n" );
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document.write( "Usual time - faster time = 1.5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fs ALIGN=MIDDLE  ALT=\"18%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F%282s%29 ALIGN=MIDDLE  ALT=\"18%2F%282s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5<BR>\n" );
document.write( "multiply by 2s to clear denominators, results:<BR>\n" );
document.write( "2(18) - 18 = 2s(1.5)<BR>\n" );
document.write( "36 - 18 = 3s<BR>\n" );
document.write( "18 = 3s<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F3 ALIGN=MIDDLE  ALT=\"18%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 6 mph is the usual speed<BR>\n" );
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document.write( "Find the usual time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F3 ALIGN=MIDDLE  ALT=\"18%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 hrs is the usual time<BR>\n" );
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document.write( "Check solution by finding the time at the faster speed (12 mph)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F12 ALIGN=MIDDLE  ALT=\"18%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5 hrs, which is 1.5 hrs faster than the usual time of 3 hrs<BR>\n" );
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