document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166790>Question 166790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicyclist rode up a mountain road at 12 km/h and then back down at 30 km/h. If the round trip toook 3.5 hours, how long did the ride up the mountain take? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123165 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=123165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bicyclist rode up a mountain road at 12 km/h and then back down at 30 km/h. If the round trip toook 3.5 hours, how long did the ride up the mountain take?<BR>\n" );
document.write( "</pre><font size=4><b><BR>\n" );
document.write( "Remember: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Speed=Distance%2Ftime ALIGN=MIDDLE  ALT=\"Speed=Distance%2Ftime\"   DISABLED_style= \"max-width:90%; height:auto;\" >, EQN 1<BR>\n" );
document.write( "Given---<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bup%5D=12kph ALIGN=MIDDLE  ALT=\"S%5Bup%5D=12kph\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bdn%5D=30kph ALIGN=MIDDLE  ALT=\"S%5Bdn%5D=30kph\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time=3.5hrs ALIGN=MIDDLE  ALT=\"time=3.5hrs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "*Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time=t%5Bup%5D%2Bt%5Bdn%5D ALIGN=MIDDLE  ALT=\"time=t%5Bup%5D%2Bt%5Bdn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, EQN 2<BR>\n" );
document.write( "Via EQN 1, we get --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance=Speed%2Atime ALIGN=MIDDLE  ALT=\"Distance=Speed%2Atime\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since both distance is the same, we equate both going up and down:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bup%5D=D%5Bdn%5D ALIGN=MIDDLE  ALT=\"D%5Bup%5D=D%5Bdn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bup%5D%2At%5Bup%5D=S%5Bdn%5D%2At%5Bdn%5D ALIGN=MIDDLE  ALT=\"S%5Bup%5D%2At%5Bup%5D=S%5Bdn%5D%2At%5Bdn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, EQN 3<BR>\n" );
document.write( "Via EQN 2, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bdn%5D=time-t%5Bup%5D ALIGN=MIDDLE  ALT=\"t%5Bdn%5D=time-t%5Bup%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, EQN 4 ---> subst. in EQN 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bup%5D%2At%5Bup%5D=S%5Bdn%5D%2A%28time-t%5Bup%5D%29 ALIGN=MIDDLE  ALT=\"S%5Bup%5D%2At%5Bup%5D=S%5Bdn%5D%2A%28time-t%5Bup%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%29%2At%5Bup%5D=%2830%29%283.5-t%5Bup%5D%29 ALIGN=MIDDLE  ALT=\"%2812%29%2At%5Bup%5D=%2830%29%283.5-t%5Bup%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2At%5Bup%5D=105-30t%5Bup%5D ALIGN=MIDDLE  ALT=\"12%2At%5Bup%5D=105-30t%5Bup%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t%5Bup%5D%2B30t%5Bup%5D=105 ALIGN=MIDDLE  ALT=\"12t%5Bup%5D%2B30t%5Bup%5D=105\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42t%5Bup%5D=105 ALIGN=MIDDLE  ALT=\"42t%5Bup%5D=105\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%2842%29t%5Bup%5D%2Fcross%2842%29=cross%28105%292.5%2Fcross%2842%29 ALIGN=MIDDLE  ALT=\"cross%2842%29t%5Bup%5D%2Fcross%2842%29=cross%28105%292.5%2Fcross%2842%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t%5Bup%5D=2.5hrs%29 ALIGN=MIDDLE  ALT=\"highlight%28t%5Bup%5D=2.5hrs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ANSWER in going up<BR>\n" );
document.write( "For the record, Via EQN 2---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bdn%5D=3.5-2.5=1hr ALIGN=MIDDLE  ALT=\"t%5Bdn%5D=3.5-2.5=1hr\"   DISABLED_style= \"max-width:90%; height:auto;\" >, going down<BR>\n" );
document.write( "* This just make sense, that it will take more time to go up than to go down.<BR>\n" );
document.write( "Check Via EQN 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A2.5=30%2A1 ALIGN=MIDDLE  ALT=\"12%2A2.5=30%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30km=30km ALIGN=MIDDLE  ALT=\"30km=30km\"   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" );