document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62026>Question 62026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two trains left the same city at the same time, traveling in opposite directions. The eastbound train travels for 10 hours, and the westbound train travels 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 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 #42760 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=42760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two trains left the same city at the same time, traveling in opposite directions. The eastbound train travels for 10 hours, and the westbound train travels 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 speed of each train.<BR>\n" );
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document.write( "distance = rate*time --> d=rt<BR>\n" );
document.write( "The time east t= 10 hr<BR>\n" );
document.write( "the rate east r= x<BR>\n" );
document.write( "the time west t= 5<BR>\n" );
document.write( "the rate west r= x+20<BR>\n" );
document.write( "The total distance between them d= 1300 km<BR>\n" );
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document.write( "Therefore it makes sence that if we add the distance that they travel we get 1300 km.<BR>\n" );
document.write( "The distance east r*t=10x<BR>\n" );
document.write( "the distance west r*t=5(x+20)<BR>\n" );
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document.write( "Probalem to solve:<BR>\n" );
document.write( "10x+5(x+20)=1300<BR>\n" );
document.write( "10x+5x+100=1300<BR>\n" );
document.write( "15x+100-100=1300-100<BR>\n" );
document.write( "15x=1200<BR>\n" );
document.write( "15x/15=1200/15<BR>\n" );
document.write( "x=80 <BR>\n" );
document.write( "The rate east is x=80 km/h<BR>\n" );
document.write( "the rate west is x+20=80+20=100 km/h<BR>\n" );
document.write( "Happy Calculating!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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