document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947456>Question 947456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been working on this problem for hours and still can't seem to find a solution, could you please help if possible?\r<BR>\n" );
document.write( "\n" );
document.write( "A person drives to a destination at a rate of thirty mph and returns over the same route at fifty mph. How far is the destination if the time returning is one hour less than the time going? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578110 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=578110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = Speed * Time\r<BR>\n" );
document.write( "\n" );
document.write( "You know the distance is the same going both ways. You are given the speed both ways and a relationship of the time.\r<BR>\n" );
document.write( "\n" );
document.write( "Let T be the number of hours outbound\r<BR>\n" );
document.write( "\n" );
document.write( "DistanceOut = SpeedOut * timeOut<BR>\n" );
document.write( "DistanceOut = 30*T\r<BR>\n" );
document.write( "\n" );
document.write( "time coming back is 1 hour less than time going out = T-1<BR>\n" );
document.write( "DistanceBack = SpeedBack * TimeBack<BR>\n" );
document.write( "DistanceBack = 50 * (T-1)\r<BR>\n" );
document.write( "\n" );
document.write( "Distance is the same both ways. So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+%2A+T+=+50+%2A+%28T-1%29 ALIGN=MIDDLE  ALT=\"30+%2A+T+=+50+%2A+%28T-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30T+=+50T+-+50 ALIGN=MIDDLE  ALT=\"30T+=+50T+-+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20T+=+-50 ALIGN=MIDDLE  ALT=\"-20T+=+-50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=+5%2F2 ALIGN=MIDDLE  ALT=\"T+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the time outbound is 5/2 hours = 2.5 Hours<BR>\n" );
document.write( "Which says the time back is 1.5 hours.\r<BR>\n" );
document.write( "\n" );
document.write( "To check your answer, does 30*2.5 = 50*1.5 ??\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Get it now??\r<BR>\n" );
document.write( "\n" );
document.write( "Now go out and have some fun this weekend! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );