document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069826>Question 1069826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels up a hill at 12 mph. He realizes he forgot his lunch and goes down the hill the exact same way at 25 mph. The entire trip took 4.6 hours. What was his average speed throughout the entire trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684940 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> speed*distance=time<BR>\n" );
document.write( "took him 4.6 hours; let time going up the hill=x and time down the hill =4.6-x<BR>\n" );
document.write( "12*x=distance up<BR>\n" );
document.write( "(4.6-x)25=115-25x distance down, and they are equal<BR>\n" );
document.write( "Therefore, 12x=115-25x<BR>\n" );
document.write( "37x=115<BR>\n" );
document.write( "x=3.108 hours<BR>\n" );
document.write( "at 12 mph that is 37.3 miles<BR>\n" );
document.write( "at 25 mph and 1.492 hours, that is 37.3 miles to check<BR>\n" );
document.write( "The total trip was 74.6 miles in 4.6 hours. The average speed was 16.22 mph, closer to 12 mph uphill speed, since more time was spent going uphill.<BR>\n" );
document.write( " </SPAN>\n" );
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