document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159504>Question 159504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tour-bus goes 90 miles to its destination.  The rate returning is twice as fast as going.  The time for a round trip is 3 hours. How fast does the tour-bus go on each part of the trip?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117620 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=117620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "Remember: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Speed=S=distance%2Ftime ALIGN=MIDDLE  ALT=\"Speed=S=distance%2Ftime\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time=distance%2FSpeed ALIGN=MIDDLE  ALT=\"time=distance%2FSpeed\"   DISABLED_style= \"max-width:90%; height:auto;\" >... EQN 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D ALIGN=MIDDLE  ALT=\"S%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=Going destination<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B2%5D ALIGN=MIDDLE  ALT=\"S%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=Returning back=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282S%5B1%5D%29 ALIGN=MIDDLE  ALT=\"highlight%282S%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, twice as fast as going --> Condition 1<BR>\n" );
document.write( "IMPORTANT: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D=90miles ALIGN=MIDDLE  ALT=\"d%5B1%5D=90miles\"   DISABLED_style= \"max-width:90%; height:auto;\" >, This distance is only for GOING for the trip.<BR>\n" );
document.write( "ALSO: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D%2Bt%5B2%5D=3hours ALIGN=MIDDLE  ALT=\"t%5B1%5D%2Bt%5B2%5D=3hours\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Total time going + time returning = 3 hours, in this eqn we get -----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D=3-t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D=3-t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, EQN 2<BR>\n" );
document.write( "IMPORTANT: See EQN 1, time and Speed are inversely proportional. What does it mean? When Speed goes up, time goes down. Let's illustrate with this proportion:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D%2FS%5B2%5D=t%5B2%5D%2Ft%5B1%5D ALIGN=MIDDLE  ALT=\"S%5B1%5D%2FS%5B2%5D=t%5B2%5D%2Ft%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You see, when you double <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B2%5D ALIGN=MIDDLE  ALT=\"S%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > doubles and vice versa, that's why INVERSELY PROPORTIONAL (not direct, not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B2%5D ALIGN=MIDDLE  ALT=\"S%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Hope you got it because it's important when we apply it in getting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "With that said, as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B2%5D=2S%5B1%5D ALIGN=MIDDLE  ALT=\"S%5B2%5D=2S%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D=2t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D=2t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,EQN 3, oks?<BR>\n" );
document.write( "Then we can equate EQN 2 and EQN 3 since both equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-t%5B2%5D=2t%5B2%5D ALIGN=MIDDLE  ALT=\"3-t%5B2%5D=2t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=2t%5B2%5D%2Bt%5B2%5D ALIGN=MIDDLE  ALT=\"3=2t%5B2%5D%2Bt%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=3t%5B2%5D ALIGN=MIDDLE  ALT=\"3=3t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%283%291%2Fcross%283%291=cross%283%29t%5B2%5D%2Fcross%283%29 ALIGN=MIDDLE  ALT=\"cross%283%291%2Fcross%283%291=cross%283%29t%5B2%5D%2Fcross%283%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%5B2%5D=1hour ALIGN=MIDDLE  ALT=\"t%5B2%5D=1hour\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And, via EQN 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D=3-1=2hrs ALIGN=MIDDLE  ALT=\"t%5B1%5D=3-1=2hrs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore we can continue in getting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D ALIGN=MIDDLE  ALT=\"S%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > as per EQN 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D=d%5B1%5D%2Ft%5B1%5D=90miles%2F2hours=cross%2890%2945%2Fcross%282%29 ALIGN=MIDDLE  ALT=\"S%5B1%5D=d%5B1%5D%2Ft%5B1%5D=90miles%2F2hours=cross%2890%2945%2Fcross%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B1%5D=45miles%2Fhr ALIGN=MIDDLE  ALT=\"S%5B1%5D=45miles%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------------------> Speed going for the trip<BR>\n" );
document.write( "And, as per Condition 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B2%5D=2%2A45=90miles%2Fhr ALIGN=MIDDLE  ALT=\"S%5B2%5D=2%2A45=90miles%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------------------> Speed returning back<BR>\n" );
document.write( "In doubt? go back  EQN 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=TotalTime=d%5B1%5D%2FS%5B1%5D%2Bd%5B2%5D%2FS%5B2%5D ALIGN=MIDDLE  ALT=\"TotalTime=d%5B1%5D%2FS%5B1%5D%2Bd%5B2%5D%2FS%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3hours=90%2F45%2B90%2F90 ALIGN=MIDDLE  ALT=\"3hours=90%2F45%2B90%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3hours=2hours%2B1hour ALIGN=MIDDLE  ALT=\"3hours=2hours%2B1hour\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3hours=3hours ALIGN=MIDDLE  ALT=\"3hours=3hours\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );