document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422594>Question 422594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jogger ran 6 miles up a hill and 10 miles on level ground. He ran 2mph faster on level ground than on the hill. If the total trip lasted 4 hours, how fast did he run uphill? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294961 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=294961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jogger ran 6 miles up a hill and 10 miles on level ground.<BR>\n" );
document.write( "He ran 2mph faster on level ground than on the hill.<BR>\n" );
document.write( " If the total trip lasted 4 hours, how fast did he run uphill?<BR>\n" );
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document.write( "Let s = speed run uphill<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+2) = speed on level ground<BR>\n" );
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document.write( "write a time equation, time = dist/speed<BR>\n" );
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document.write( "uphill time + level ground time = 4 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fs ALIGN=MIDDLE  ALT=\"6%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%28%28s%2B2%29%29 ALIGN=MIDDLE  ALT=\"10%2F%28%28s%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "multiply by s(s+2)<BR>\n" );
document.write( "s(s+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fs ALIGN=MIDDLE  ALT=\"6%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + s(s+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%28%28s%2B2%29%29 ALIGN=MIDDLE  ALT=\"10%2F%28%28s%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4s(s+2)<BR>\n" );
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document.write( "cancel the denominators<BR>\n" );
document.write( "6(s+2) + 10x = 4s(s+2)<BR>\n" );
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document.write( "6s + 12 + 10s = 4s^2 + 8s<BR>\n" );
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document.write( "Combine on the right<BR>\n" );
document.write( "0 = 4s^2 + 8s - 6s - 10s - 12<BR>\n" );
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document.write( "a quadratic equation<BR>\n" );
document.write( "4s^2 - 8s - 12 = 0<BR>\n" );
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document.write( "Simplify, divide by 4<BR>\n" );
document.write( "s^2 - 2s - 3 = 0<BR>\n" );
document.write( "factor to<BR>\n" );
document.write( "(s - 3)(s + 1) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "s = 3 mph up hill<BR>\n" );
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document.write( "Check this by finding the actual time of each (5 mph is speed on level ground)<BR>\n" );
document.write( "6/3 + 10/5 = 4<BR>\n" );
document.write( " </SPAN>\n" );
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