document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380564>Question 380564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At the beginning of a walk, Roberto and Juanita are 6.6 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards 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 #270156 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=270156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At the beginning of a walk, Roberto and Juanita are 6.6 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet in 1 hour. What are their speeds?<BR>\n" );
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document.write( "Draw the two pictures.\r<BR>\n" );
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document.write( "Walk toward one another DATA:<BR>\n" );
document.write( "Let Roberto distance be \"x\"<BR>\n" );
document.write( "Then Roberto time = 1 hr<BR>\n" );
document.write( "And Roberto rate = x mph<BR>\n" );
document.write( "====================================<BR>\n" );
document.write( "Juanita distance is \"6.6-x\"<BR>\n" );
document.write( "Juanita time = 1 hr<BR>\n" );
document.write( "Juanita rate = (6.6-x) mph <BR>\n" );
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document.write( "Same Direction DATA:<BR>\n" );
document.write( "Roberto distance = (6.6+y)miles<BR>\n" );
document.write( "Roberto time = 11 hrs<BR>\n" );
document.write( "Roberto rate = x<BR>\n" );
document.write( "Roberto equation:<BR>\n" );
document.write( "distance = distance:<BR>\n" );
document.write( "11x = 6.6+y<BR>\n" );
document.write( "====================================<BR>\n" );
document.write( "Juanita distance = y miles<BR>\n" );
document.write( "Juanita rate = (6.6-x) mph<BR>\n" );
document.write( "Juanita time = 11 hrs<BR>\n" );
document.write( "Juanita equation:<BR>\n" );
document.write( "distance = distance<BR>\n" );
document.write( "y = 11(6.6-x)<BR>\n" );
document.write( "=====================================<BR>\n" );
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document.write( "Solve the system:<BR>\n" );
document.write( "11x - y = 6.6<BR>\n" );
document.write( "-11x -y = -72.6<BR>\n" );
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document.write( "Subtract to solve for \"x\"<BR>\n" );
document.write( "22x = 79.2<BR>\n" );
document.write( "x = 3.6 mph (Roberto's walking rate)<BR>\n" );
document.write( "6.6-x = 3 mph (Juanita's walking rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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