document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086593>Question 1086593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nickola swam at a rate of 3 &#8203;km/hr and ran at a rate of 15 &#8203;km/hr for a total distance traveled of&#8195;73.5 km. If he completed the race in 6.5 &#8203;hours, how long did he take to complete each part of the&#8203; race? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700816 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=700816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs to complete the <BR>\n" );
document.write( "swimming part of the race<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6.5+-+t+ ALIGN=MIDDLE  ALT=\"+6.5+-+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs to complete the<BR>\n" );
document.write( "running part<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance in km that he swam<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+73.5+-+d+ ALIGN=MIDDLE  ALT=\"+73.5+-+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance in km that he ran<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Equation for the swimming part:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+3t+ ALIGN=MIDDLE  ALT=\"+d+=+3t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for the running part:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+73.5+-+d+=+15%2A%28+6.5+-+t+%29+ ALIGN=MIDDLE  ALT=\"+73.5+-+d+=+15%2A%28+6.5+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Plug (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+73.5+-+3t+=+15%2A%28+6.5+-+t+%29+ ALIGN=MIDDLE  ALT=\"+73.5+-+3t+=+15%2A%28+6.5+-+t+%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=+73.5+-+3t+=+97.5+-+15t+ ALIGN=MIDDLE  ALT=\"+73.5+-+3t+=+97.5+-+15t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12t+=+24+ ALIGN=MIDDLE  ALT=\"+12t+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2+ ALIGN=MIDDLE  ALT=\"+t+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6.5+-+t+=+6.5+-+2+ ALIGN=MIDDLE  ALT=\"+6.5+-+t+=+6.5+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6.5+-+t+=+4.5+ ALIGN=MIDDLE  ALT=\"+6.5+-+t+=+4.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "He took 2 hrs to finish the swimming part<BR>\n" );
document.write( "He took 4.5 hrs to finish the running part<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+3t+ ALIGN=MIDDLE  ALT=\"+d+=+3t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+3%2A2+ ALIGN=MIDDLE  ALT=\"+d+=+3%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+6+ ALIGN=MIDDLE  ALT=\"+d+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+73.5+-+d+=+15%2A%28+6.5+-+t+%29+ ALIGN=MIDDLE  ALT=\"+73.5+-+d+=+15%2A%28+6.5+-+t+%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=+73.5+-+d+=+15%2A%28+6.5+-+2+%29+ ALIGN=MIDDLE  ALT=\"+73.5+-+d+=+15%2A%28+6.5+-+2+%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=+73.5+-+d+=+15%2A4.5+ ALIGN=MIDDLE  ALT=\"+73.5+-+d+=+15%2A4.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+73.5+-+d+=+67.5+ ALIGN=MIDDLE  ALT=\"+73.5+-+d+=+67.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+6+ ALIGN=MIDDLE  ALT=\"+d+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );