document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=661236>Question 661236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at the beinning of a walk jack roberto and juanita are 5.5 miles apart. If they leave at the same time and walk in the same direction, roberto over takes juanita in 11 hours. If they walk toward eachother, they meet in 1 hour. what are their speeds? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411563 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=411563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is possible to tell from the problem who walks faster<BR>\n" );
document.write( "Walking in the same direction, roberto over takes juanita.<BR>\n" );
document.write( "If Roberto walked slower than her, he would never catch her<BR>\n" );
document.write( "so he is the faster walker<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = his speed in mi/hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+ ALIGN=MIDDLE  ALT=\"+j+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = her speed in mi/hr<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "I can think of Juanita as standing still and Roberto as <BR>\n" );
document.write( "approaching at the difference of their speeds<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.5+=+%28+r+-+j+%29%2A11+ ALIGN=MIDDLE  ALT=\"+5.5+=+%28+r+-+j+%29%2A11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Walking toward each other, think of Juanita<BR>\n" );
document.write( "as standing still and add their speeds<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.5+=+%28+r+%2B+j+%29%2A1+ ALIGN=MIDDLE  ALT=\"+5.5+=+%28+r+%2B+j+%29%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.5+=+11r+-+11j+ ALIGN=MIDDLE  ALT=\"+5.5+=+11r+-+11j+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.5+=+r+%2B+j+ ALIGN=MIDDLE  ALT=\"+5.5+=+r+%2B+j+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+5.5+-+r+ ALIGN=MIDDLE  ALT=\"+j+=+5.5+-+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.5+=+11r+-+11%2A%28+5.5+-+r+%29+ ALIGN=MIDDLE  ALT=\"+5.5+=+11r+-+11%2A%28+5.5+-+r+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5.5+=+11r+-+60.5+%2B+11r+ ALIGN=MIDDLE  ALT=\"+5.5+=+11r+-+60.5+%2B+11r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22r+=+60.5+%2B+5.5+ ALIGN=MIDDLE  ALT=\"+22r+=+60.5+%2B+5.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22r+=+66+ ALIGN=MIDDLE  ALT=\"+22r+=+66+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+3+ ALIGN=MIDDLE  ALT=\"+r+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+5.5+-+r+ ALIGN=MIDDLE  ALT=\"+j+=+5.5+-+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+5.5+-+3+ ALIGN=MIDDLE  ALT=\"+j+=+5.5+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+=+2.5+ ALIGN=MIDDLE  ALT=\"+j+=+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3 mi/hr is his speed in mi/hr<BR>\n" );
document.write( "2.5 mi/hr is her speed in mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "In 11 hrs, she walks <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+2.5%2A11+ ALIGN=MIDDLE  ALT=\"+d+=+2.5%2A11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+27.5+ ALIGN=MIDDLE  ALT=\"+d+=+27.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "In 11 hrs, he walks <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+3%2A11+=+33+ ALIGN=MIDDLE  ALT=\"+d+=+3%2A11+=+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33+-+27.5+=+5.5+ ALIGN=MIDDLE  ALT=\"+33+-+27.5+=+5.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so he makes up<BR>\n" );
document.write( "the 5.5 mi difference<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );