document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437893>Question 437893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes George 8 minutes longer to drive to work than it does to get home using the same route. If his average speed going to work is 45 mph and his average speed going home is 54 mph, how far does George live from work ?\r<BR>\n" );
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document.write( "I have absolutely no idea where to begin with this one. It seems like it would be something along the lines of: let h represent the time to get home. 45(8h)=54 but it doesn't make sense. It also seems like the solution to solve this is to have a variable on both sides. Not sure... Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302925 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t = the time required to drive home (in hours)<BR>\n" );
document.write( "Then t + 8/60 = the time required to drive to work (in hours)<BR>\n" );
document.write( "The distance, d,  is the same for both drives<BR>\n" );
document.write( "distance = speed x time<BR>\n" );
document.write( "So for the drive to work, we have<BR>\n" );
document.write( "d = 45*(t + 8/60)  [1]<BR>\n" );
document.write( "And for the drive home:<BR>\n" );
document.write( "d = 54*t  [2]<BR>\n" );
document.write( "Since the problem asks for d, we can solve [2] for t and subsitute in [1].<BR>\n" );
document.write( "Then we are left with an equation in d only:<BR>\n" );
document.write( "t = d/54<BR>\n" );
document.write( "d = 45(d/54 + 8/60)<BR>\n" );
document.write( "Solve for d:<BR>\n" );
document.write( "d = 5/6d + 45*8/60 -> 1/6d = 6 -> d = 36 miles<BR>\n" );
document.write( "Therefore, the distance is 36 miles<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "Drive time to work = 36 mi/45mph = 0.8 hrs = 48 min<BR>\n" );
document.write( "Drive time from work = 36 mi/54 mph = 2/3 hr = 40 min<BR>\n" );
document.write( "The drive to work takes 8 more mins. </SPAN>\n" );
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