document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=648064>Question 648064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You commute 56 miles one way to work. The trip 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406546 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Average speed on trip home is<BR>\n" );
document.write( "( distance in miles ) / ( time in hrs )<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hours going home<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+10%2F60+ ALIGN=MIDDLE  ALT=\"+t+%2B+10%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time to go to work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+%2F+%28+t+%2B+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+56+%2F+%28+t+%2B+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed going to work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+%2F+t+ ALIGN=MIDDLE  ALT=\"+56+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed going home<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+%2F+t+=+56+%2F+%28+t+%2B+1%2F6+%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+56+%2F+t+=+56+%2F+%28+t+%2B+1%2F6+%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+t+%2B+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t+%2B+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56%2A%28+t+%2B+1%2F6+%29+=+56t+%2B+8t%2A%28+t+%2B+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+56%2A%28+t+%2B+1%2F6+%29+=+56t+%2B+8t%2A%28+t+%2B+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56t+%2B+28%2F3+=+56t+%2B+8t%5E2+%2B+4t%2F3+ ALIGN=MIDDLE  ALT=\"+56t+%2B+28%2F3+=+56t+%2B+8t%5E2+%2B+4t%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56t+ ALIGN=MIDDLE  ALT=\"+56t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "and multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+28+=+24t%5E2%2B+4t+ ALIGN=MIDDLE  ALT=\"+28+=+24t%5E2%2B+4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t%5E2+%2B+t+-+7+=+0+ ALIGN=MIDDLE  ALT=\"+6t%5E2+%2B+t+-+7+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+6+ ALIGN=MIDDLE  ALT=\"+a+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+1+ ALIGN=MIDDLE  ALT=\"+b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-7+ ALIGN=MIDDLE  ALT=\"+c+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A6%2A%28-7%29+%29%29+%2F+%282%2A6%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A6%2A%28-7%29+%29%29+%2F+%282%2A6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-1+%2B-+sqrt%28+1+%2B+168+%29%29+%2F+12+ ALIGN=MIDDLE  ALT=\"+t+=+%28-1+%2B-+sqrt%28+1+%2B+168+%29%29+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-1+%2B-+sqrt%28+169+%29%29+%2F+12+ ALIGN=MIDDLE  ALT=\"+t+=+%28-1+%2B-+sqrt%28+169+%29%29+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-1+%2B+13+%29+%2F+12+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-1+%2B+13+%29+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1+ ALIGN=MIDDLE  ALT=\"+t+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+%2F+t+ ALIGN=MIDDLE  ALT=\"+56+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = average speed going home<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56%2Ft+=+56+ ALIGN=MIDDLE  ALT=\"+56%2Ft+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The average speed going home is 56 mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+%2F+%28+t+%2B+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+56+%2F+%28+t+%2B+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed going to work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+%2F+%287%2F6%29+=+48+ ALIGN=MIDDLE  ALT=\"+56+%2F+%287%2F6%29+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "rate x time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48%2A%28+t+%2B+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+48%2A%28+t+%2B+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48%2A%287%2F6%29+=+56+ ALIGN=MIDDLE  ALT=\"+48%2A%287%2F6%29+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );