document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214961>Question 214961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour. Train A passes a station at 6:25pm. If train B passes the same station at 6:55pm., at what time will train B catch up to train A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162423 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=162423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ): Train A and B are traveling in the same direction on parallel tracks.<BR>\n" );
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document.write( "Train A is traveling at 80 miles per hour and train B is traveling at 84 miles per hour.<BR>\n" );
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document.write( "Train A passes a station at 6:25pm. If train B passes the same station at 6:55pm., at what time will train B catch up to train A?<BR>\n" );
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document.write( "Train A DATA:<BR>\n" );
document.write( "rate = 80 mph ; distance = x miles ; time = d/r = x/80 hrs.<BR>\n" );
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document.write( "Train B DATA:<BR>\n" );
document.write( "rate = 84 mph ; distance = x miles ; time = d/r = x/84 hrs.<BR>\n" );
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document.write( "Comment: Using the station as a start point, Train B starts<BR>\n" );
document.write( "1/2 hr. after Train A<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "A-time - B-time = 1/2 hr<BR>\n" );
document.write( "x/80 - x/84 = 1/2<BR>\n" );
document.write( "(84x-80x)/(80*84) = 1/2<BR>\n" );
document.write( "Cross multiply to get:<BR>\n" );
document.write( "2*4x = 80*84<BR>\n" );
document.write( "x = 840 (distance traveled from the station before catchup)<BR>\n" );
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document.write( "Time = x/84 = 840/84 = 10 hrs for train B to catch train A<BR>\n" );
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document.write( "6:55 pm + 10hr = 4:55am<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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