document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328581>Question 328581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Extreme hardship. Kim starts to walk 3 mi to school at<BR>\n" );
document.write( "7:30 A.M. with a temperature of 0°F. Her brother Bryan<BR>\n" );
document.write( "starts at 7:40 A.M. on his bicycle, traveling 10 mph faster<BR>\n" );
document.write( "than Kim. If they get to school at the same time, then how<BR>\n" );
document.write( "fast is each one traveling?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235394 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=235394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Kim starts to walk 3 mi to school at<BR>\n" );
document.write( "7:30 A.M. with a temperature of 0°F. Her brother Bryan<BR>\n" );
document.write( "starts at 7:40 A.M. on his bicycle, traveling 10 mph faster<BR>\n" );
document.write( "than Kim. If they get to school at the same time, then how<BR>\n" );
document.write( "fast is each one traveling?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Kim DATA:<BR>\n" );
document.write( "distance = 3 mi ; rate = x mph ; time = 3/x hrs<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Bryan DATA:<BR>\n" );
document.write( "distance = 3 mi ; rate = x+10 mph ; tim = 3/(x+10)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "Kim time - Bryan time = 1/6 hr<BR>\n" );
document.write( "3/x - 3/(x+10) = 1/6<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by 6x(x+10) to get:<BR>\n" );
document.write( "18(x+10)  - 18x = x(x+10)<BR>\n" );
document.write( "180 = x^2+10x<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x^2+10x-180 = 0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = [-10+sqrt(100-4*-180]/2<BR>\n" );
document.write( "x = 9.32 mph (Kim speed)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x+10 = 19.32 mph (Bryan speed)<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );