document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065246>Question 1065246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one day Manisha covered a distance of 24 KM at x km/hr and another 40Km at Y km/hr.Next day,she covered 18km at X Km/hr and another 48Km at y km/hr if each day she took 9 hrs to complete the journey. Find the values of X & Y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680379 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=680379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think I will end up with 4 equations and 4 unknowns,<BR>\n" );
document.write( "which means it is solvable<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "For the 1st day:<BR>\n" );
document.write( "Let the time for the 24 km trip be <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;\" > hrs<BR>\n" );
document.write( "The time for the 40 km trip is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+-+t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+9+-+t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "For the 2nd day:<BR>\n" );
document.write( "Let the time for the 18 km trip be <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;\" > hrs<BR>\n" );
document.write( "The time for the 48 km trip is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+-+t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+9+-+t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "That gives me the 4 unknowns:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <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;\" >, and <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( "(1 ) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+x%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+24+=+x%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+y%2A%28+9+-+t%5B1%5D+%29+ ALIGN=MIDDLE  ALT=\"+40+=+y%2A%28+9+-+t%5B1%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+=+x%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+18+=+x%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+y%2A%28+9+-+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+48+=+y%2A%28+9+-+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+40%2F%28+9+-+t%5B1%5D+%29+ ALIGN=MIDDLE  ALT=\"+y+=+40%2F%28+9+-+t%5B1%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into (4)<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+%28+40%2F%28+9+-+t%5B1%5D+%29+%29%2A%28+9+-+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+48+=+%28+40%2F%28+9+-+t%5B1%5D+%29+%29%2A%28+9+-+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48%2A%28+9+-+t%5B1%5D+%29+=+40%2A%28+9+-+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+48%2A%28+9+-+t%5B1%5D+%29+=+40%2A%28+9+-+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+9+-+t%5B1%5D+%29+=+5%2A%28+9+-+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%28+9+-+t%5B1%5D+%29+=+5%2A%28+9+-+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+54+-+6t%5B1%5D+=+45+-+5t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+54+-+6t%5B1%5D+=+45+-+5t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t%5B1%5D+-+5t%5B2%5D+=+9+ ALIGN=MIDDLE  ALT=\"+6t%5B1%5D+-+5t%5B2%5D+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+24%2Ft%5B1%5D+ ALIGN=MIDDLE  ALT=\"+x+=+24%2Ft%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+=+%28+24%2Ft%5B1%5D+%29%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+18+=+%28+24%2Ft%5B1%5D+%29%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18t%5B1%5D+=+24t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+18t%5B1%5D+=+24t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t%5B1%5D+=+4t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+3t%5B1%5D+=+4t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%283%2F4%29%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%283%2F4%29%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Substitute (3) into (4)<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t%5B1%5D+-+5%2A%283%2F4%29%2At%5B1%5D+=+9+ ALIGN=MIDDLE  ALT=\"+6t%5B1%5D+-+5%2A%283%2F4%29%2At%5B1%5D+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2824%2F4%29%2At%5B1%5D+-+%2815%2F4%29%2At%5B1%5D+=+9+ ALIGN=MIDDLE  ALT=\"+%2824%2F4%29%2At%5B1%5D+-+%2815%2F4%29%2At%5B1%5D+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24t%5B1%5D+-+15t%5B1%5D+=+36+ ALIGN=MIDDLE  ALT=\"+24t%5B1%5D+-+15t%5B1%5D+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9t%5B1%5D+=+36+ ALIGN=MIDDLE  ALT=\"+9t%5B1%5D+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+=+4+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%283%2F4%29%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%283%2F4%29%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%283%2F4%29%2A4+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%283%2F4%29%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+3+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(1 ) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+x%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+24+=+x%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1 ) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+=+x%2A4+ ALIGN=MIDDLE  ALT=\"+24+=+x%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1 ) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+6+ ALIGN=MIDDLE  ALT=\"+x+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+y%2A%28+9+-+t%5B1%5D+%29+ ALIGN=MIDDLE  ALT=\"+40+=+y%2A%28+9+-+t%5B1%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+y%2A%28+9+-+4+%29+ ALIGN=MIDDLE  ALT=\"+40+=+y%2A%28+9+-+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+y%2A5+ ALIGN=MIDDLE  ALT=\"+40+=+y%2A5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8+ ALIGN=MIDDLE  ALT=\"+y+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+=+x%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+18+=+x%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+=+x%2A3+ ALIGN=MIDDLE  ALT=\"+18+=+x%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+6+ ALIGN=MIDDLE  ALT=\"+x+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+y%2A%28+9+-+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+48+=+y%2A%28+9+-+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+y%2A%28+9+-+3+%29+ ALIGN=MIDDLE  ALT=\"+48+=+y%2A%28+9+-+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+y%2A6+ ALIGN=MIDDLE  ALT=\"+48+=+y%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8+ ALIGN=MIDDLE  ALT=\"+y+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );