document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204173>Question 1204173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James walks a distance of 10 km at an average speed of x km/h. Jane walks the same distance at (x - 1) km/h. If the difference in their times is 30 minutes, find the value of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840244 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "James walks a distance of 10 km at an average speed of x km/h. Jane walks the same distance at (x - 1) km/h. If the difference in their times is 30 minutes, find the value of x.\r<BR>\n" );
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document.write( "James walks a distance of 10 km at an average speed of x km/h\r<BR>\n" );
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document.write( "time taken by James = 10/x\r<BR>\n" );
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document.write( "Jane walks the same distance at (x - 1) km/h<BR>\n" );
document.write( "Time taken by Jane = 10/(x-1)\r<BR>\n" );
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document.write( "Difference in time = 30 minutes = 1/2 hour\r<BR>\n" );
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document.write( "10/(x-1)-10/x = 1/2\r<BR>\n" );
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document.write( "Multiply by the LCD 2x(x-1)\r<BR>\n" );
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document.write( "10.2(x)-10*2*x = x(x-1)\r<BR>\n" );
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document.write( "20x-20x  -20= x^2-x\r<BR>\n" );
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document.write( "x^2-x +20=0\r<BR>\n" );
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document.write( "x^2-5x-4x+20=0\r<BR>\n" );
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document.write( "x(x-5)-4(x-5)=0\r<BR>\n" );
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document.write( "(x-5)(x-4)=0\r<BR>\n" );
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document.write( "x= 5 or 4<BR>\n" );
document.write( "4 not possible\r<BR>\n" );
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document.write( "x=5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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