document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177426>Question 177426</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495108337/algebrahomeworkh>Contemporary Precalculus</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves New York for Boston, 200 miles away, at 3:00 p.m. and averages 75 mph.  Another train leaves Boston for New York on an adjacent set of tracks at 5:00 p.m. and averages 45 mph.  At what time will the trains meet?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132519 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let distance traveled by the NY to Boston train to the “meeting point” be d<BR>\n" );
document.write( "Then distance traveled by the Boston to NY train to the “meeting point” is 200 – d<BR>\n" );
document.write( "Because the train from NY to Boston has a 2 hr head start, its time to get to the “meeting point” will be 2 hrs more than it takes the Boston to NY train to get to that “meeting point.” Therefore, NY to Boston train’s time, less 2 hrs equals Boston to NY train’s time.\r<BR>\n" );
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document.write( "And, because T  =  D  ÷  S, then          <BR>\n" );
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document.write( "And, because T  =  D  ÷  S, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%29%2F%2875%29-2=%28200-d%29%2F%2845%29 ALIGN=MIDDLE  ALT=\"%28d%29%2F%2875%29-2=%28200-d%29%2F%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >       <BR>\n" );
document.write( "3d  -  450   =  1,000  -  5d<BR>\n" );
document.write( "8d  =  1,450<BR>\n" );
document.write( "d   =   181.25<BR>\n" );
document.write( "This means that the NY to Boston train covers 181.25 miles to the “meeting point,” and the Boston to NY train therefore covers 18.75 (200 – 181.25) miles to the “meeting point.”\r<BR>\n" );
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document.write( "Since the NY to Boston train covers 181.25 miles at an average speed of 75 mph, it takes 2.4166666(181.25 ÷ 75) hours, or 145 minutes, or 2 hours, 25 minutes  to get the “meeting point.” Therefore, it will get to the “meeting point” at 5:25pm, since it left NY at 3:00pm. \r<BR>\n" );
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document.write( "Since the Boston to NY train covers 18.75 miles at an average speed of 45 mph, it takes .4166666(18.75 ÷ 45) hours, or 25 minutes to get to the “meeting point.” Therefore, it will get to the “meeting point” at 5:25pm, since it left Boston at 5:00pm.\r<BR>\n" );
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document.write( "As seen, the two meeting times (5:25pm) are equal.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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