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" );
document.write( "\n" );
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 #302924 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=302924\">put this solution on YOUR website!</A><BR><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.<BR>\n" );
document.write( " 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 ?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "since we are using mph here, change 8 min to 8/60 = 2/15 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the times to and from work, and from that we can find the distance<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let t = time from work at 54 mph<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = time to work at 45 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation: dist = speed * time (dist both ways are equal)<BR>\n" );
document.write( "54t = 45(t+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F15 ALIGN=MIDDLE  ALT=\"2%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "54t = 45t + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F15 ALIGN=MIDDLE  ALT=\"90%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is:<BR>\n" );
document.write( "54t = 45t + 6<BR>\n" );
document.write( "54t - 45t = 6<BR>\n" );
document.write( "9t = 6<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F9 ALIGN=MIDDLE  ALT=\"6%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr or 40 min<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Find the distance using 54 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 54 = 36 mile way from work<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm that using 45 mph, which would take 48 min; 48/60 = .8 hr<BR>\n" );
document.write( ".8 * 45 = 36 mi way to work\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );