document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198348>Question 198348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fast train takes three hours less than the slow train for a journey of 600 km.If the speed of slow train is 10km/hr less than that of fast train.Find the speed of the two trains. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148824 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=148824\">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=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the speed of the fast train in km/hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the speed of the slow train in km/hr<BR>\n" );
document.write( "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;\" >= the time for the fast train to go 600 km<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+f+-+10 ALIGN=MIDDLE  ALT=\"s+=+f+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+ft ALIGN=MIDDLE  ALT=\"600+=+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+s%2A%28t+%2B+3%29 ALIGN=MIDDLE  ALT=\"600+=+s%2A%28t+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "substituting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+%28f+-+10%29%2A%28t+%2B+3%29 ALIGN=MIDDLE  ALT=\"600+=+%28f+-+10%29%2A%28t+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+ft+-+10t+%2B+3f+-+30 ALIGN=MIDDLE  ALT=\"600+=+ft+-+10t+%2B+3f+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+ft ALIGN=MIDDLE  ALT=\"600+=+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+600+-+10t+%2B+3f+-+30 ALIGN=MIDDLE  ALT=\"600+=+600+-+10t+%2B+3f+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+3f+-+10t+-+30 ALIGN=MIDDLE  ALT=\"0+=+3f+-+10t+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3f+=+10t+%2B+30 ALIGN=MIDDLE  ALT=\"3f+=+10t+%2B+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+10%2A%28t%2F3+%2B+1%29 ALIGN=MIDDLE  ALT=\"f+=+10%2A%28t%2F3+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute back into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+ft ALIGN=MIDDLE  ALT=\"600+=+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+10%2A%28t%2F3+%2B+1%29%2At ALIGN=MIDDLE  ALT=\"600+=+10%2A%28t%2F3+%2B+1%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+%2810%2F3%29%2At%5E2+%2B+10t ALIGN=MIDDLE  ALT=\"600+=+%2810%2F3%29%2At%5E2+%2B+10t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800+=+10t%5E2+%2B+30t ALIGN=MIDDLE  ALT=\"1800+=+10t%5E2+%2B+30t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2+%2B+3t+-+180+=+0 ALIGN=MIDDLE  ALT=\"t%5E2+%2B+3t+-+180+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3 ALIGN=MIDDLE  ALT=\"b+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-180 ALIGN=MIDDLE  ALT=\"c+=+-180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-180%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-180%29+%29%29%2F%282%2A1%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+=+%28-3+%2B-+sqrt%28+9+%2B+720+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"t+=+%28-3+%2B-+sqrt%28+9+%2B+720+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-3+%2B-+27%29%2F2+ ALIGN=MIDDLE  ALT=\"t+=+%28-3+%2B-+27%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2827+-+3%29%2F2 ALIGN=MIDDLE  ALT=\"t+=+%2827+-+3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ignore negative answer)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+12 ALIGN=MIDDLE  ALT=\"t+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+ft ALIGN=MIDDLE  ALT=\"600+=+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+12f ALIGN=MIDDLE  ALT=\"600+=+12f\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+50 ALIGN=MIDDLE  ALT=\"f+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr<BR>\n" );
document.write( "also,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+s%2A%28t+%2B+3%29 ALIGN=MIDDLE  ALT=\"600+=+s%2A%28t+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+15s ALIGN=MIDDLE  ALT=\"600+=+15s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+40 ALIGN=MIDDLE  ALT=\"s+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr<BR>\n" );
document.write( "The speed of the fast train is 50 km/hr and<BR>\n" );
document.write( "the speed of the slow train is 40 km/hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );