document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302031>Question 302031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An express train leaves New York at 3pm and reaches Boston at 6pm. A slow train leaves Boston at 1.30pm and arrives at New York at 6pm. If both trains travel at constant speeds, at what time do they meet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216651 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=216651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An express train leaves New York at 3pm and reaches Boston at 6pm.<BR>\n" );
document.write( " A slow train leaves Boston at 1.30pm and arrives at New York at 6pm.<BR>\n" );
document.write( " If both trains travel at constant speeds, at what time do they meet?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "From the given information:<BR>\n" );
document.write( "Express travel time = 3 hrs<BR>\n" );
document.write( "Slow train travel time = 4.5 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = dist from N.Y. to Boston<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F3 ALIGN=MIDDLE  ALT=\"d%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of express<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4.5 ALIGN=MIDDLE  ALT=\"d%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of the slow train<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = travel time of express when they meet<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1.5) = travel time of the slow train when they meet<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation; dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Dist of each train = the total dist<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F3 ALIGN=MIDDLE  ALT=\"d%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >t + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4.5 ALIGN=MIDDLE  ALT=\"d%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(t+1.5) = d<BR>\n" );
document.write( "multiply thru by 9 to get rid of the denominators, results:<BR>\n" );
document.write( "3dt + 2d(t+1.5) = 9d<BR>\n" );
document.write( "3dt + 2dt + 3d = 9d<BR>\n" );
document.write( "5dt + 3d = 9d<BR>\n" );
document.write( "divide thru by d<BR>\n" );
document.write( "5t + 3 = 9<BR>\n" );
document.write( "5t = 9 - 3<BR>\n" );
document.write( "5t = 6<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5 ALIGN=MIDDLE  ALT=\"6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1.2 hrs, which is 1 hr 12 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3:00 + 1:12 = 4:12 pm the trains meet<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );