document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869965>Question 869965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John and Peter leave the cottage by two separate roads, each 3km in length, to go to town. Peter walks 0.5 km/h faster than john. Along the road John meets a friend and stop to talk for 5 min, so peter has to wait in town 10 for John to arrive, How fast do John and Peter walk? Show your work. How long does it take John and Peter to travel the Distance? Show your work.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524608 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=524608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John and Peter leave the cottage by two separate roads,\r<BR>\n" );
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document.write( "d=3 km to go to town.\r<BR>\n" );
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document.write( "John speed =x km/h<BR>\n" );
document.write( "Peter speed = (x+1/2) km/h\r<BR>\n" );
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document.write( "Time taken by john  is walking time + 5 minutes = 5/60=> = 1/12 hours<BR>\n" );
document.write( "Peter has to wait in town 10 minutes = 10/60 = 1/6 hours\r<BR>\n" );
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document.write( "Time taken by John to reach town\r<BR>\n" );
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document.write( "t1= d/r =(3/x)+(1/12) \r<BR>\n" );
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document.write( "time taken by Peter = 3/(x+(1/2))\r<BR>\n" );
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document.write( "Time taken by John - time taken by Peter = 10 minutes = 1/6 hours\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2Fx%29+%2B%281%2F12%29%29+-+%283%2F%28x%2B%281%2F2%29%29%29=+%281%2F6%29 ALIGN=MIDDLE  ALT=\"%28%283%2Fx%29+%2B%281%2F12%29%29+-+%283%2F%28x%2B%281%2F2%29%29%29=+%281%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "{((36+x)/12x)-(6/(2x+1))= (1/6)}}}\r<BR>\n" );
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document.write( "LCM of denominator = 12x(2x+1)\r<BR>\n" );
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document.write( "Multiply equation by 12x(2x+1)\r<BR>\n" );
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document.write( "(36+x)(2x+1) -72x=2x(2x+1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72x%2B36%2B2x%5E2%2Bx-72x=4x%5E2%2B2x ALIGN=MIDDLE  ALT=\"72x%2B36%2B2x%5E2%2Bx-72x=4x%5E2%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "2x^2+x-36=0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B9x-8x-36=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B9x-8x-36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x(2x+9)-4(2x+9)=0\r<BR>\n" );
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document.write( "(2x+9)(x-4)=0\r<BR>\n" );
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document.write( "2x=-9<BR>\n" );
document.write( "x=-9/2<BR>\n" );
document.write( "x= -4.5 km/h<BR>\n" );
document.write( "Ignore\r<BR>\n" );
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document.write( "x=4\r<BR>\n" );
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document.write( "John speed = 4 km/h<BR>\n" );
document.write( "Peter speed =4.5 km/h\r<BR>\n" );
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document.write( "Time  John = 3/4 +1/12 =10/12=>5/6 hour\r<BR>\n" );
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document.write( "Time Peter = 3/(9/2)=> 2/3 hours\r<BR>\n" );
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document.write( "Check\r<BR>\n" );
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document.write( "5/6 -2/3\r<BR>\n" );
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document.write( "=1/6 = 10 minutes\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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