document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351120>Question 351120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> pls. help me solve this problem. thank you.\r<BR>\n" );
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document.write( "A passenger on the front train A observes that he passes the complete length of train B in 33 seconds when traveling in the same direction as B and in 3 seconds when traveling in the opposite direction. If B is 330 ft long, find the speed of the two trains. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251066 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=251066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A passenger on the front train A observes that he passes the complete length<BR>\n" );
document.write( " of train B in 33 seconds when traveling in the same direction as B and in<BR>\n" );
document.write( " 3 seconds when traveling in the opposite direction.<BR>\n" );
document.write( " If B is 330 ft long, find the speed of the two trains.<BR>\n" );
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document.write( "Let a = train A's speed, Let b = train B's speed<BR>\n" );
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document.write( "When traveling in the same direction, their relative speed is (a-b)<BR>\n" );
document.write( "When traveling in opposite direction, their relative speed is (a+b)<BR>\n" );
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document.write( "We will be finding the speeds in ft/sec<BR>\n" );
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document.write( "Write two distance equations, dist = speed * time<BR>\n" );
document.write( "33(a-b) = 330<BR>\n" );
document.write( "33a - 33b = 330<BR>\n" );
document.write( "simplify, divide by 33<BR>\n" );
document.write( "a - b = 10<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3(a+b) = 330<BR>\n" );
document.write( "3a + 3b = 330<BR>\n" );
document.write( "simplify, divide by 3<BR>\n" );
document.write( "a + b = 110<BR>\n" );
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document.write( "Use elimination on these two equations<BR>\n" );
document.write( "a - b = 10<BR>\n" );
document.write( "a + b = 110<BR>\n" );
document.write( "-----------------adding eliminates b, find a<BR>\n" );
document.write( "2a = 120<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F2 ALIGN=MIDDLE  ALT=\"120%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 60 ft/sec; speed of Train A; (that's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2860%2A3600%29%29%2F5280 ALIGN=MIDDLE  ALT=\"%28%2860%2A3600%29%29%2F5280\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40.9 mph<BR>\n" );
document.write( "and<BR>\n" );
document.write( "a + b = 110<BR>\n" );
document.write( "60 + b = 110<BR>\n" );
document.write( "b = 110 - 60<BR>\n" );
document.write( "b = 50 ft/sec; speed of Train B: (that's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2850%2A3600%29%29%2F5280 ALIGN=MIDDLE  ALT=\"%28%2850%2A3600%29%29%2F5280\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34.1 mph<BR>\n" );
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