document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767494>Question 767494</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A student travelled for X hours at 5km/hr and for Y hours at 10km/hr. The journey was 35 km altogether, find XandY if the average speed for the journey was 7 km/hr </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467658 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=467658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make a data table.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "_____________________speed__________time____________distance<BR>\n" );
document.write( "_____________________5______________x______________(___)<BR>\n" );
document.write( "_____________________10_____________y______________(___)<BR>\n" );
document.write( "TOTAL________________|____________x+y______________35\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We want to solve for x and y somehow.  First we could fill in the distance expressions, in case it helps sooner in the process:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "_____________________speed__________time____________distance<BR>\n" );
document.write( "_____________________5______________x______________(5x)<BR>\n" );
document.write( "_____________________10_____________y______________(10y)<BR>\n" );
document.write( "TOTAL________________|____________x+y______________35\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We must try to do something with the average speed reported of 7 km/hr.<BR>\n" );
document.write( "Total distance compared to total time should be this average:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2F%28x%2By%29=7 ALIGN=MIDDLE  ALT=\"35%2F%28x%2By%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2By%29=1 ALIGN=MIDDLE  ALT=\"5%2F%28x%2By%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=5 ALIGN=MIDDLE  ALT=\"x%2By=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We also have a distance equation about total distance traveled:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B10y=35 ALIGN=MIDDLE  ALT=\"5x%2B10y=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=7 ALIGN=MIDDLE  ALT=\"x%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve the system for x and y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=5 ALIGN=MIDDLE  ALT=\"x%2By=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=7 ALIGN=MIDDLE  ALT=\"x%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract first from second.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2By=7-5 ALIGN=MIDDLE  ALT=\"0%2By=7-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "____________________________________________<BR>\n" );
document.write( "ANSWER:___________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >____________\r<BR>\n" );
document.write( "\n" );
document.write( "____________________________________________\r<BR>\n" );
document.write( "\n" );
document.write( "ANSWER:   3 hours at 5 km/h and 2 hours at 10 km/h </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );