document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891545>Question 891545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the lengths of two trains are 220metres,180metres respectively. They overtake together in opposite direction in 16 seconds and they overtake in same direction in 1 minute. find the speeds 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 #539848 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he lengths of two trains are 220metres,180metres respectively.<BR>\n" );
document.write( " They overtake together in opposite direction in 16 seconds and<BR>\n" );
document.write( " they overtake in same direction in 1 minute.<BR>\n" );
document.write( " find the speeds of the two trains<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = speed of the 220 m train in meters/min<BR>\n" );
document.write( "let y = speed of the 180 m train  \"  \"  \"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Going opposite direction, their speeds are additive<BR>\n" );
document.write( "Going the same direction, their relative speed is their difference<BR>\n" );
document.write( ": <BR>\n" );
document.write( "total distance for the trains to clear each other 220 + 180 = 400 m<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write distance equation for each scenario, dist = time * speed<BR>\n" );
document.write( "1(x-y) = 400<BR>\n" );
document.write( "x - y = 400<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F60 ALIGN=MIDDLE  ALT=\"16%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x + y) = 400<BR>\n" );
document.write( "multiply both sides by 60<BR>\n" );
document.write( "16(x + y) = 24000<BR>\n" );
document.write( "divide both sides by 16<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination with these two equations<BR>\n" );
document.write( "x - y = 400<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( "--------------Adding eliminates y find x<BR>\n" );
document.write( "2x = 1900<BR>\n" );
document.write( "x = 1900/2<BR>\n" );
document.write( "x = 950 m/min <BR>\n" );
document.write( "Find y<BR>\n" );
document.write( "950 + y = 1500<BR>\n" );
document.write( "y = 550 m/min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Chance these to km/hr for the two trains<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28950%2A60%29%2F1000 ALIGN=MIDDLE  ALT=\"%28950%2A60%29%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 57 km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28550%2A60%29%2F1000 ALIGN=MIDDLE  ALT=\"%28550%2A60%29%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 33 km/hr<BR>\n" );
document.write( " </SPAN>\n" );
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