document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143133>Question 143133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An express and local train leaves Allen's point at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. i came up with 75 mph for the express and 58 for the local, but this doesn't seem right.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104150 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=104150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> AT LEAST YOU TRIED!!!<BR>\n" );
document.write( "ACTUALLY YOU CAN CHECK YOUR ANSWER, AS FOLLOWS:\r<BR>\n" );
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document.write( "TIME IT TOOK LOCAL=50/58= 0.862 HR<BR>\n" );
document.write( "TIME IT TOOK EXPRESS=50/75=0.66667 HR<BR>\n" );
document.write( "THERE SHOULD BE AN HOURS DIFFERENCE AND THERE'S NOT\r<BR>\n" );
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document.write( "LOOK AT THIS APPROACH:\r<BR>\n" );
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document.write( "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 the local<BR>\n" );
document.write( "then 2r=rate of the express<BR>\n" );
document.write( "Time it tool local to make the trip=50/r<BR>\n" );
document.write( "Time it tool express to make the trip=50/2r\r<BR>\n" );
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document.write( "Now we are told that the express arrives 1 hour ahead of the local, so:\r<BR>\n" );
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document.write( "50/r -1 =50/2r  multiply each term by 2r\r<BR>\n" );
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document.write( "50*2-2r=50 or\r<BR>\n" );
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document.write( "100-2r=50  subtract 100 from each side\r<BR>\n" );
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document.write( "100-100-2r=50-100  collect like terms\r<BR>\n" );
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document.write( "-2r=-50  divide each side by -2\r<BR>\n" );
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document.write( "r=25 mph------------------------------speed of local\r<BR>\n" );
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document.write( "2r=2*25=50 mph----------------------------speed of the express\r<BR>\n" );
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document.write( "CK <BR>\n" );
document.write( "time it took local=50/25=2hrs<BR>\n" );
document.write( "Local arrived at 5 PM<BR>\n" );
document.write( "time it took express =50/50=1hr\r<BR>\n" );
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document.write( "express arrives at 4 PM\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
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