document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438086>Question 438086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For his morning workout a boxer bicycles for 8 miles and then jogs back to camp along the same route. If he bicycles 6 mph faster than he jogs, and the entire workout lasts 2 hours, how fast does he jog? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303053 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For his morning workout a boxer bicycles for 8 miles and then jogs back to camp along the same route. <BR>\n" );
document.write( "If he bicycles 6 mph faster than he jogs, and the entire workout lasts 2 hours, how fast does he jog?<BR>\n" );
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document.write( "Let x = his jogging speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+6) = his biking speed<BR>\n" );
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document.write( "Write a time equation Time = dist/speed<BR>\n" );
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document.write( "Jog time + bike time = 2 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fx ALIGN=MIDDLE  ALT=\"8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"8%2F%28%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
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document.write( "multiply by x(x+6), results<BR>\n" );
document.write( "8(x+6) + 8x = 2x(x+6)<BR>\n" );
document.write( "8x + 48 + 8x = 2x^2 + 12x<BR>\n" );
document.write( "16x + 48 = 2x^2 + 12x<BR>\n" );
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document.write( "A quadratic equation<BR>\n" );
document.write( "2x^2 + 12x - 16x - 48 = 0<BR>\n" );
document.write( "2x^2 - 4x - 48 = 0<BR>\n" );
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document.write( "simplify, divide by 2<BR>\n" );
document.write( "x^2 - 2x - 24 = 0<BR>\n" );
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document.write( "Factors to<BR>\n" );
document.write( "(x-6)(x+4) = 0<BR>\n" );
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document.write( "x = 6 mph is the jogging speed<BR>\n" );
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document.write( "Check this by finding the times<BR>\n" );
document.write( "8/6 = 1.33 hrs jogging<BR>\n" );
document.write( "8/12= .67 hrs biking<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "total 2 hrs<BR>\n" );
document.write( "  </SPAN>\n" );
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