document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=520471>Question 520471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vera walked from her home to a friend's home at a rate of 3 miles per hour. She rode to work with her friend at an average rate of 30 miles per hour. It took Vera a total of 50 minutes (5/6 of an hour) to walk to her friend's home and to get to work, traveling a total distance of 16 miles. How long did she walk and how long did she ride with her friend to get to work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346079 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=346079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vera walked from her home to a friend's home at a rate of 3 miles per hour. <BR>\n" );
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document.write( "She rode to work with her friend at an average rate of 30 miles per hour. <BR>\n" );
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document.write( "It took Vera a total of 50 minutes (5/6 of an hour) to walk to her friend's home and to get to work, traveling a total distance of 16 miles.<BR>\n" );
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document.write( "How long did she walk and how long did she ride with her friend to get to work?<BR>\n" );
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document.write( "Walking DATA:<BR>\n" );
document.write( "rate = 3 mph ; time = x hrs ; distance = rt = 3x miles<BR>\n" );
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document.write( "Riding DATA:<BR>\n" );
document.write( "rate = 30 mph ; time = (5/6)-x hrs ; distance = rt = 30[(5/6)-x] <BR>\n" );
document.write( "= (5*5)-30x miles<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "distance + distance = 16 miles<BR>\n" );
document.write( "3x + 25 - 30x = 16<BR>\n" );
document.write( "-27x = -9<BR>\n" );
document.write( "x = 1/3 hrs (walking time)<BR>\n" );
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document.write( "(5/6) - (1/3) = (5/6)-(2/6) = 1/2 hrs (riding time)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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