document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121073>Question 121073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During rush hour,adriana can drive 30 miles using the side roads in the same time that it takes to travel 15 miles on the Freeway. If Adriana'a rate on the side roads is 6 mi/hr faster than her rate on the freeway, find her rate on the side roads.\r<BR>\n" );
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document.write( "6,8,12,14 \r<BR>\n" );
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document.write( "Is the correct answer 6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88829 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the correct answer 6?I THINK THAT 6 IS HER RATE ON THE FREEWAY????\r<BR>\n" );
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document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "Let r=Adriana's rate on the freeway<BR>\n" );
document.write( "then r+6=her rate on the side roads\r<BR>\n" );
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document.write( "time on the side roads=30/(r+6)<BR>\n" );
document.write( "time on the freeway=15/r\r<BR>\n" );
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document.write( "and we are told that the above two times are equal, so:\r<BR>\n" );
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document.write( "30/(r+6)=15/r  multiply each side by r(r+6) {or cross-multiply}<BR>\n" );
document.write( "30r=15(r+6) get rid of parens<BR>\n" );
document.write( "30r=15r+90  subtract 15 from both sides<BR>\n" );
document.write( "30r-15r=15r-15r+90  collect like terms\r<BR>\n" );
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document.write( "15r=90 divide both sides by 15<BR>\n" );
document.write( "r=6 mph--------------------------------her rate on the freeway<BR>\n" );
document.write( "r+6=6+6=12mph----------------------------her rate on the side roads\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "30/12=15/6<BR>\n" );
document.write( "15/6=15/6\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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