document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899789>Question 899789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Erin goes off on a long bike ride averaging 10km/hr. One hour later her brother Alistair starts chasing her at 16km/hr. How long will it take Alistair to Erin. \r<BR>\n" );
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document.write( "Okay so I have carefully looked at this and i have a feeling it may something to with simultaneous equations. I know that both would fit on a graph at a set gradient but i dont know what figures to use where and therefore cant get to the actual equations yet. Once i work out my equations I am all good with solving the question. Please this is a question I saw on my study sheet so I dont just need the answer but to understand how to do it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545591 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=545591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Erin speed = 10km/h\r<BR>\n" );
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document.write( "Alistair speed = 16 km/h\r<BR>\n" );
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document.write( "When they meet the distance traveled by both is the same\r<BR>\n" );
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document.write( "Let this distance be x\r<BR>\n" );
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document.write( "Time taken by Erin - time taken by Alistair to travel x km = 1 hour\r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "x/10-x/16 = 1\r<BR>\n" );
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document.write( "multiply equation by LCM 80\r<BR>\n" );
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document.write( "8x-5x=80\r<BR>\n" );
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document.write( "3x=80<BR>\n" );
document.write( "x= 80/3\r<BR>\n" );
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document.write( "distance traveled by Alistair = 80/3 km<BR>\n" );
document.write( "speed = 16 km/h\r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "(80/3 )/16\r<BR>\n" );
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document.write( "5/3\r<BR>\n" );
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document.write( "= 1.66 hours </SPAN>\n" );
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