document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198981>Question 198981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of forty-five mph. At what rate must she return if the total travel time is three hours and forty minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149523 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=149523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance between two cities is ninety miles, and a woman drives from one<BR>\n" );
document.write( " city to the other at a rate of forty-five mph.<BR>\n" );
document.write( " At what rate must she return if the total travel time is three hours and forty minutes?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed require to return in 3 hr 40 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = Dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change time to hrs: 3 & 2/3 hrs = 11/3 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To time + return time = 3 hr 40 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F45 ALIGN=MIDDLE  ALT=\"90%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2Fs ALIGN=MIDDLE  ALT=\"90%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3 ALIGN=MIDDLE  ALT=\"11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 45s<BR>\n" );
document.write( "45s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F45 ALIGN=MIDDLE  ALT=\"90%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 45s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2Fs ALIGN=MIDDLE  ALT=\"90%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 45s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3 ALIGN=MIDDLE  ALT=\"11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel denominators, results<BR>\n" );
document.write( "90s + 45(90) = 15s(11)<BR>\n" );
document.write( "90s + 4050 = 165s<BR>\n" );
document.write( "4050 = 165s - 90s<BR>\n" );
document.write( "4050 = 75s<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4050%2F75 ALIGN=MIDDLE  ALT=\"4050%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 54 mph required on the return trip<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution<BR>\n" );
document.write( "90/45 + 90/54 =<BR>\n" );
document.write( "2 + 1.67 = 3.67 hrs ~ 3 hr 40 min<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );