document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309712>Question 309712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves watsonville at noon traveling north at 44 mph. One hour later, another train, going 52mph, travels north on a parallel track. How many hours will the second train travel before it overtakes the first train?Show work please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221508 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First train rate = 44 mph<BR>\n" );
document.write( "in 1 hour it will have traveled 44 miles.Let the point where first train is after 1 hour be A\r<BR>\n" );
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document.write( "Let the point they meet be B\r<BR>\n" );
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document.write( "Let the distance from A to B be x miles\r<BR>\n" );
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document.write( "Second train rate = 52 mph<BR>\n" );
document.write( "It has to travel x+44 miles to catch up with the first train<BR>\n" );
document.write( "The time taken by this train to go to B  will be x+44/52<BR>\n" );
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document.write( "The first train  travels x miles in the same time as the second train takes to travel x+44 miles<BR>\n" );
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document.write( "time taken by first train to travel x miles = x/44<BR>\n" );
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document.write( "x/44 = x+44/52\r<BR>\n" );
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document.write( "52x=44(x+44)<BR>\n" );
document.write( "52x=44x + 2176<BR>\n" );
document.write( "8x= 2176<BR>\n" );
document.write( "x=272 miles\r<BR>\n" );
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document.write( "The point they meet is x+80 miles<BR>\n" );
document.write( "=272+44 miles = 316 miles<BR>\n" );
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document.write( "distance traveled by second train when ot catches up with first train = 352 mile<BR>\n" );
document.write( "speed of this train = 52 mph\r<BR>\n" );
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document.write( "time taken = 316/52= 6 hours.<BR>\n" );
document.write( "After 6 hours it catches up with the first train\r<BR>\n" );
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