document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323663>Question 323663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At the beginning of a walk, Roberto and Juanita are 5.5 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk toward each other, 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 #231741 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=231741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At the beginning of a walk, Roberto and Juanita are 5.5 miles apart. <BR>\n" );
document.write( "If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. <BR>\n" );
document.write( "If they walk toward each other, they meet in 1 hour. What are their speeds?<BR>\n" );
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document.write( "Let r = Roberto's speed<BR>\n" );
document.write( "Let j = Juanita's speed<BR>\n" );
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document.write( "Write a time equation for each scenario, simplify; (Time = dist/speed)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.5%2F%28r+%2B+j%29 ALIGN=MIDDLE  ALT=\"5.5%2F%28r+%2B+j%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; walking toward each other<BR>\n" );
document.write( "multiply by (r+j)<BR>\n" );
document.write( "5.5 = r + j<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.5%2F%28r+-+j%29 ALIGN=MIDDLE  ALT=\"5.5%2F%28r+-+j%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11; walking the same direction<BR>\n" );
document.write( "multiply by r - j<BR>\n" );
document.write( "5.5 = 11(r - j)<BR>\n" );
document.write( "divide both sides by 11<BR>\n" );
document.write( ".5 = r - j<BR>\n" );
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document.write( "Arrange the two simplified equation for elimination<BR>\n" );
document.write( "r + j = 5.5<BR>\n" );
document.write( "r - j = .5<BR>\n" );
document.write( "-------------addition eliminates j, find r<BR>\n" );
document.write( "2r = 6<BR>\n" );
document.write( "r = 3 mph is Robert's speed<BR>\n" );
document.write( "Find j<BR>\n" );
document.write( "r + j = 5.5<BR>\n" );
document.write( "3 + j = 5.5<BR>\n" );
document.write( "j = 5.5 - 3<BR>\n" );
document.write( "j = 2.5 mph is Juanita's speed<BR>\n" );
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document.write( "Check solution by finding the times using these values<BR>\n" );
document.write( "5.5/(3-2.5) = 11<BR>\n" );
document.write( "5.5/(3+2.5) = 1; confirms our solution<BR>\n" );
document.write( " </SPAN>\n" );
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