document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209730>Question 209730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is one word problem: <BR>\n" );
document.write( "You commute 56 miles one way to work.The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?<BR>\n" );
document.write( "Thanks a tone!<BR>\n" );
document.write( "Jenn </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158639 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=158639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You commute 56 miles one way to work.<BR>\n" );
document.write( "The trip to work takes 10 minutes longer than the trip home.<BR>\n" );
document.write( " Your average speed on the trip home is 8 miles per hour faster.<BR>\n" );
document.write( "What is your average speed on the trip home?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed home<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-8) = speed to work<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "time to work - time home = 10 min (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2F%28%28s-8%29%29 ALIGN=MIDDLE  ALT=\"56%2F%28%28s-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2Fs ALIGN=MIDDLE  ALT=\"56%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by s(s-8), results<BR>\n" );
document.write( "6s(56) - 6(s-8)*56 = s(s-8)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "336s - 56(6s-48) = s^2 - 8s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "336s - 336s + 2688 = s^2 - 8s<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "s^2 - 8s - 2688 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(s-56)(s+48) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "s = 56 mph, speed home from work<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution (speed to work = 48 mph)<BR>\n" );
document.write( "56/48 - 56/56 =<BR>\n" );
document.write( "1.667 - 1.0 = .667 hr difference which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of an hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );