document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96972>Question 96972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bike race consists of two segments whose total length is 90 km.  The first segment is covered at 10 kph and takes 2 hours longer to complete than the second segment, which is covered at 25 kph.  How long is each segment?\r<BR>\n" );
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document.write( "I have tried setting it up as t/25 = (t+2)/10 but for some reason I can't figure out the algebra.\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70601 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first segment be x km <BR>\n" );
document.write( "therefore the second segment is 90- x km\r<BR>\n" );
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document.write( "time taken to cover the first segment (t1) = x/10<BR>\n" );
document.write( "time taken to cover the second segment (t2) = (90-x)/25\r<BR>\n" );
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document.write( "given that the time taken to cover the first segment is 2 hours more\r<BR>\n" );
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document.write( "t1 = t2 + 2\r<BR>\n" );
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document.write( "substituting the values of t1 andf t2 from above \r<BR>\n" );
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document.write( "x/10 = (90-x)/25 +2 <BR>\n" );
document.write( "Multipying by 50 on both sides \r<BR>\n" );
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document.write( "5x = 180 -2x + 100\r<BR>\n" );
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document.write( "7x =280<BR>\n" );
document.write( "x=40\r<BR>\n" );
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document.write( "therefore the other segment is 90 -40 = 50\r<BR>\n" );
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document.write( "hence the segments is (40, 50) </SPAN>\n" );
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