document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62098>Question 62098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 trains left the same city at the same time, traveling in opposite directions. the eastbound train traveles for 10 hours, and the westbound train traveles for 5 hours. They are now 1300 km. apart. the westbound train's rate is 20 km/h faster than the eastbound train. Find the rate of the speed of each train. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42894 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=42894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>2 trains left the same city at the same time, traveling in opposite directions. the eastbound train traveles for 10 hours, and the westbound train traveles for 5 hours. They are now 1300 km. apart. the westbound train's rate is 20 km/h faster than the eastbound train. Find the rate of the speed of each train.</b>\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Be%5D ALIGN=MIDDLE  ALT=\"R%5Be%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate (or speed) of the eastbound train.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Bw%5D ALIGN=MIDDLE  ALT=\"R%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate (or speed) of the westbound train.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Be%5D ALIGN=MIDDLE  ALT=\"D%5Be%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance covered by the eastbound train.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bw%5D ALIGN=MIDDLE  ALT=\"D%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance covered by the westbound train.\r<BR>\n" );
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document.write( "Distance = Rate x Time.\r<BR>\n" );
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document.write( "We know that the eastbound train traveled for 10 hours.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Be%5D+=+R%5Be%5D%2A10 ALIGN=MIDDLE  ALT=\"D%5Be%5D+=+R%5Be%5D%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We know that the westbound train traveled for 5 hours.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bw%5D+=+R%5Bw%5D%2A5 ALIGN=MIDDLE  ALT=\"D%5Bw%5D+=+R%5Bw%5D%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We know that the total distance covered = 1300 so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Be%5D%2BD%5Bw%5D+=+1300 ALIGN=MIDDLE  ALT=\"D%5Be%5D%2BD%5Bw%5D+=+1300\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Be%5D%2A10+%2B+R%5Bw%5D%2A5+=1300 ALIGN=MIDDLE  ALT=\"R%5Be%5D%2A10+%2B+R%5Bw%5D%2A5+=1300\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We know that the westbound rate is 20 km/hour faster than the westbound rate.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Bw%5D=R%5Be%5D%2B20 ALIGN=MIDDLE  ALT=\"R%5Bw%5D=R%5Be%5D%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Be%5D%2A10+%2B+%28R%5Be%5D%2B20%29%2A5%29+=+1300 ALIGN=MIDDLE  ALT=\"R%5Be%5D%2A10+%2B+%28R%5Be%5D%2B20%29%2A5%29+=+1300\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Be%5D%2A10+%2B+R%5Be%5D%2A5+%2B+100+=+1300 ALIGN=MIDDLE  ALT=\"R%5Be%5D%2A10+%2B+R%5Be%5D%2A5+%2B+100+=+1300\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Be%5D%2A15+=+1200 ALIGN=MIDDLE  ALT=\"R%5Be%5D%2A15+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Be%5D+=+80 ALIGN=MIDDLE  ALT=\"R%5Be%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5Bw%5D+=+R%5Be%5D%2B20+=+100 ALIGN=MIDDLE  ALT=\"R%5Bw%5D+=+R%5Be%5D%2B20+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, the eastbound train is going 80 km/hour and the westbound train is going 100 km/hour.\r<BR>\n" );
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document.write( "Verify:\r<BR>\n" );
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document.write( "In 10 hours, the eastbound train covers 10*80 km = 800 km.<BR>\n" );
document.write( "In 5 hours, the westbound train covers 5*100 km = 500 km.<BR>\n" );
document.write( "The total distance = 800 + 500 = 1300 km which is what the problem stated. </SPAN>\n" );
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