document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249016>Question 249016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> susan rode her bicycle out into the country for a distance of 24 miles. on the way back, she took a much shorter route of 12 miles and made return trip in one half hour less time. if her rate out into the country was 4 miles per hour faster than her rate on teh return trip, find both rates. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181411 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=181411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D=RT<BR>\n" );
document.write( "24=(R+4)T OUT TRIP.<BR>\n" );
document.write( "T=24/(R+4) EQ. # 1<BR>\n" );
document.write( "12=R(T-.5) RETURN TRIP.<BR>\n" );
document.write( "12=RT-.5R<BR>\n" );
document.write( "12+.5R=RT<BR>\n" );
document.write( "T=(12+.5R)/R EQ # 2<BR>\n" );
document.write( "SET THE 2 T EQUATIONS EQUAL & SOLVE FOR R.<BR>\n" );
document.write( "24/(R+4)=(12+.5R)/R CROSS MULTIPLY<BR>\n" );
document.write( "24R=(R+4)(12+.5R)<BR>\n" );
document.write( "24R=12R+48+2R+.5R^2<BR>\n" );
document.write( "2R^2+14R+48-24R=0<BR>\n" );
document.write( ".5R^2-10R+48=0 MULTIPLY BY 2<BR>\n" );
document.write( "R^2-20R+96=0 FACTOR.<BR>\n" );
document.write( "(R-12)(R-8)=0<BR>\n" );
document.write( "R-12=0<BR>\n" );
document.write( "R=12 ANS. T=1.5 ANS<BR>\n" );
document.write( "R-8=0<BR>\n" );
document.write( "R=8 ANS. T=2 ANS. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );