document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454861>Question 454861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trains A and B are traveling in the smae direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling 110 mph. Train A passes a station at 11:15am. If train B passes the same station at 11:27am at what time will train B catch up to train A?\r<BR>\n" );
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document.write( "When will train B catch up with train A? __:__am or pm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312398 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=312398\">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 100 mph and train B is traveling 110 mph.<BR>\n" );
document.write( " Train A passes a station at 11:15am.<BR>\n" );
document.write( " If train B passes the same station at 11:27am at 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 12 min behind A at at 11:15 pm<BR>\n" );
document.write( "therefore Train B is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F60 ALIGN=MIDDLE  ALT=\"12%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 110 = 22 miles behind Train A at that time.<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 dist = Train A dist + 22 mi<BR>\n" );
document.write( "110t = 100t + 22<BR>\n" );
document.write( "110t - 100t = 22<BR>\n" );
document.write( "10t = 22<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F10 ALIGN=MIDDLE  ALT=\"22%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.2 hrs for B to catch A <BR>\n" );
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document.write( "Convert 2.2 hrs to hrs and minutes: 2 + .2(60) = 2 hr 12 min<BR>\n" );
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document.write( "Find the time from 11:15 pm:<BR>\n" );
document.write( "11:15 + 2:12 = 1:27 pm, Train B catches Train A<BR>\n" );
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document.write( "We can check this by using relative speed between the trains, which is 10 mph<BR>\n" );
document.write( "How long to cover 22 mi at 10 mph? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F10 ALIGN=MIDDLE  ALT=\"22%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > 2.2 hrs which is 2 hrs 12 min </SPAN>\n" );
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