document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=385384>Question 385384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nick drove 24 miles, one way, to deliver a pakage. On his way home he drove 20 miles per hour faster than he did on his way to deliver the pakage. If the total driving time was 1 hour for the entire trip, find nick's driving speed on the way home. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272679 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=272679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nick drove 24 miles, one way, to deliver a pakage. On his way home he drove 20 miles per hour faster than he did on his way to deliver the pakage. If the total driving time was 1 hour for the entire trip, find nick's driving speed on the way home.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Going-DATA:<BR>\n" );
document.write( "distance = 24 miles ; rate = x mph ; time = 24/x hrs.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Coming DATA:<BR>\n" );
document.write( "distance = 24 miles ; rate = x+20 mph ; time = 24/(x+20) hrs<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time + time = 1 hr<BR>\n" );
document.write( "24/x + 24/(x+20) = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "24x+24*20 + 24x = x(x+20)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 + 20x = 48x + 480<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 - 28x - 480 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x+12)(x-40) = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Going-rate = 40 mph<BR>\n" );
document.write( "Coming-rate = 60 mph<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );