document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133198>Question 133198</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808583/algebrahomeworkh>prentice hall mathematics  algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this prroblem:<BR>\n" );
document.write( "A passenger train travels 392mi in the same time that it takes a freight train to travel 322mi. if the passenger train travels 20mi/h faster than the freight train, find 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 #97404 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "Let r=rate of freight train<BR>\n" );
document.write( "Then r+20=rate of passenger train\r<BR>\n" );
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document.write( "Time it takes freight train=322/r<BR>\n" );
document.write( "Time it takes passenger train=392/(r+20)\r<BR>\n" );
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document.write( "Now we are told that the above two times are equal, so:\r<BR>\n" );
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document.write( "322/r=392/(r+20)  multiply each side by r(r+20) (or cross multiply)\r<BR>\n" );
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document.write( "322(r+20)=392r  get rid of parens\r<BR>\n" );
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document.write( "322r+6440=392r  subtract 322r from each side\r<BR>\n" );
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document.write( "322r-322r+6440=392r-322r  collect like terms<BR>\n" );
document.write( "6440=70r  divide both sides by 70\r<BR>\n" );
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document.write( "r=92 mph------------------------------speed of freight train\r<BR>\n" );
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document.write( "r+20=92+20=112 mph------------------------speed of passenger train\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "322/92=392/112<BR>\n" );
document.write( "3.5=3.5\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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