document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766779>Question 766779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maureen sets off on a walk at 6km/h. Ten minutes later, her brother John sets off after her on his bicycle at 15 km/h. How far must john go to catch up with Maureen? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467273 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maureen traveled a distance already in ten minutes before John began.  Maureen already went <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%2810%2F60%29 ALIGN=MIDDLE  ALT=\"6%2A%2810%2F60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > km.  This is 1 km.\r<BR>\n" );
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document.write( "Maureen and John then both travel for some equal time which we not yet know; and their total distances become equal. Let h be the amount of time in hours that they travel simultaneously.   Make a data table:\r<BR>\n" );
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document.write( "SIBLING__________speed_________time___________distance<BR>\n" );
document.write( "Maureen__________6_____________h+1/6___________(__)<BR>\n" );
document.write( "John_____________15____________h______________(__)\r<BR>\n" );
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document.write( "What can we do about the unknown distance for them?<BR>\n" );
document.write( "r*t=d or in the variables chosen, r*h=d.<BR>\n" );
document.write( "10 minutes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour.\r<BR>\n" );
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document.write( "SIBLING__________speed_________time___________distance<BR>\n" );
document.write( "Maureen__________6_____________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2B1%2F6 ALIGN=MIDDLE  ALT=\"h%2B1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >___________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%28h%2B1%2F6%29%29 ALIGN=MIDDLE  ALT=\"%286%28h%2B1%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "John_____________15____________h______________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815h%29 ALIGN=MIDDLE  ALT=\"%2815h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When John reaches Maureen, they have both gone equal distances, so the equation is to equate their distance expressions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286%28h%2B1%2F6%29=15h%29 ALIGN=MIDDLE  ALT=\"highlight%286%28h%2B1%2F6%29=15h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a reminder, h is in hours.  Solve for h and then distance can easily be computed. </SPAN>\n" );
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