document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601729>Question 601729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains are traveling between city A and city B on parallel tracks. The first train will leave at 10:30 AM traveling at a velocity if 35 mph toward city B. The second train will leave city B at 2:30 PM traveling at a velocity of 60 mph toward city A. The two cities are 350 miles apart.\r<BR>\n" );
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document.write( "Write the parametric equations that describe this situation.<BR>\n" );
document.write( "How long does each train travel before they pass eachother?<BR>\n" );
document.write( "Which train will reach its destination first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379968 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=379968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two trains are traveling between city A and city B on parallel tracks. <BR>\n" );
document.write( "The first train will leave at 10:30 AM traveling at a velocity if 35 mph toward city B. <BR>\n" );
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document.write( "1st train DATA:<BR>\n" );
document.write( "rate = 35 mph ; time = x hrs ; distance = 35x miles<BR>\n" );
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document.write( "The second train will leave city B at 2:30 PM traveling at a velocity of 60 mph toward city A.<BR>\n" );
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document.write( "2nd train DATA:<BR>\n" );
document.write( "rate = 60 mph ; time = x-4 hrs ; distance = 60(x-4) miles<BR>\n" );
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document.write( "The two cities are 350 miles apart. <BR>\n" );
document.write( "Write the parametric equations that describe this situation.<BR>\n" );
document.write( "How long does each train travel before they pass each other?<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "distance + distance = 350<BR>\n" );
document.write( "35x + 60(x-4) = 350<BR>\n" );
document.write( "35x + 60x - 240 = 350<BR>\n" );
document.write( "95x = 590<BR>\n" );
document.write( "x = 6.21 hrs. = 6 hr 12 minutes<BR>\n" );
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document.write( "Which train will reach its destination first?<BR>\n" );
document.write( "Train A takes 350/35 = 10 hrs<BR>\n" );
document.write( "10 hrs from 10:30AM is 8:30 PM<BR>\n" );
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document.write( "Train B takes 350/60 = 5.83 hrs = 5 hr + 50 minutes<BR>\n" );
document.write( "5.83 hrs from 2:30 PM is 8:20 PM<BR>\n" );
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document.write( "Train B will get to A before train A gets to B.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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