document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995333>Question 995333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On Sunday Kara started biking from her apartment at 7:00 AM for a charity bike-a-thon, traveling at a constant speed. At 9:30 AM her roommate Amy began along the same route in her car at an average speed 20 km/h greater and caught up with Kara at 11:30 AM. How far had Amy gone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614093 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On Sunday Kara started biking from her apartment at 7:00 AM for a charity bike-a-thon, traveling at a constant speed. At 9:30 AM her roommate Amy began along the same route in her car at an average speed 20 km/h greater and caught up with Kara at 11:30 AM. How far had Amy gone? <BR>\n" );
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document.write( "Kara DATA:<BR>\n" );
document.write( "time = 9/2 hr ; distance = x km ; rate = d/t = x/(9/2) = 2x/9 km/hr<BR>\n" );
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document.write( "Amy DATA:<BR>\n" );
document.write( "time = 2 hr ; distance = x km ; rate = d/t = x/2 km/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Amy rate - Kara rate = 20 km/hr<BR>\n" );
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document.write( "x/2 - 2x/9 = 20<BR>\n" );
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document.write( "9x - 4x = 2*9*20<BR>\n" );
document.write( "5x = 18*20<BR>\n" );
document.write( "x = 72 km (distance each of the girls went)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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