document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186557>Question 186557</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321368541/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A man rode a bicycle for 12 miles and then hiked an additional 8 miles.  The total time for the trip was 5 hours.  If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?<BR>\n" );
document.write( "          D    =    R     x      T<BR>\n" );
document.write( "bike   12 mi       r+10         5 hr<BR>\n" );
document.write( "hike   8  mi        r           5 hr\r<BR>\n" );
document.write( "\n" );
document.write( "Am i on the right track? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139813 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=139813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Walking DATA:<BR>\n" );
document.write( "distance = 8 miles ; rate = x mph ; time = 8/x hrs.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Biking DATA:<BR>\n" );
document.write( "distance = 12 miles : rate = (x+10)mph ; time = 12/(x+10) hrs<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "8/x + 12/(x+10) = 5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by x(x+10) you get:<BR>\n" );
document.write( "8(x+10) + 12x = 5x(x+10)<BR>\n" );
document.write( "8x + 80 + 12x = 5x^2 + 50x<BR>\n" );
document.write( "5x^2 + 30x - 80 = 0<BR>\n" );
document.write( "x^2 + 6x - 16 = 0<BR>\n" );
document.write( "(x+8)(x-2) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 2 mph (walking rate)<BR>\n" );
document.write( "x+10 = 12 mph (bicycling rate)<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );