document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=406733>Question 406733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trains A and B are traveling in the same direction on parellel tracks. Train A is traveling at a speed of 40 m.p.h and Train B is traveling at a speed of 50 m.p.h. Train A passes the station at 2:25 p.m. and Train B passes the same station at 2:55 p.m. At this rate, what time will Train B catch up to Train A?<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 #286976 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Trains A and B are traveling in the same direction on parallel tracks.<BR>\n" );
document.write( " Train A is traveling at a speed of 40 m.p.h and Train B is traveling at a speed of 50 m.p.h.<BR>\n" );
document.write( " Train A passes the station at 2:25 p.m. and Train B passes the same station at 2:55 p.m.<BR>\n" );
document.write( " At this rate, what time will Train B catch up to Train A?<BR>\n" );
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document.write( "from the given information, we know that train B is 30 min (1/2 hr) behind<BR>\n" );
document.write( " train A, when train A passes the station at 2:25PM<BR>\n" );
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document.write( "The distance between the trains at this time: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 50 = 25 mi<BR>\n" );
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document.write( "Let t = time required for train B to catch train A<BR>\n" );
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document.write( "write a distance equation: Dist = speed * time<BR>\n" );
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document.write( "Train B travel dist = Train A travel dist + 25 mi<BR>\n" );
document.write( "50t = 40t + 25 <BR>\n" );
document.write( "50t - 40t = 25<BR>\n" );
document.write( "10t = 25<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F10 ALIGN=MIDDLE  ALT=\"25%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.5 hr or 2 hr 30 min<BR>\n" );
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document.write( "2:25 PM + 2:30 = 4:55 pm, B catches A<BR>\n" );
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document.write( "Check this by finding the travel distance of each train:<BR>\n" );
document.write( "Train B: 50*2.5 = 125 mi<BR>\n" );
document.write( "Train A: 40*2.5 = 100 mi<BR>\n" );
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document.write( "dif in distance: 25 mi </SPAN>\n" );
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