document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389588>Question 389588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	A cyclist travels a distance of 120 km from Town A to Town B at an average speed of x km/h. if he increases his average speed by 1 km/h, he would have saved 30 minutes. Find x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276114 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t = d / r ___ the time for the faster rate is 1/2 hr less\r<BR>\n" );
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document.write( "120 / x = [120 / (x + 1)] + 1/2\r<BR>\n" );
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document.write( "multiplying by LCD [2x(x+1)] ___ 240x + 240 = 240x + x^2 + x\r<BR>\n" );
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document.write( "0 = x^2 + x - 240\r<BR>\n" );
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document.write( "factoring ___ 0 = (x + 16)(x - 15)\r<BR>\n" );
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document.write( "x + 16 = 0 ___ x = -16 ___ negative value not realistic\r<BR>\n" );
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document.write( "x - 15 = 0 ___ x = 15 </SPAN>\n" );
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