document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762802>Question 762802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carlisle and Springfield are 100 miles apart. If a car and a train leave Carlisle at the same, and the car travels at a rate of 25mph faster than the train, find the speed of the train if the car takes 2 hours less than the train to Springfield. \r<BR>\n" );
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document.write( "Can't even figure out where to start, should I be using a quadratic equation? Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464212 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Carlisle and Springfield are 100 miles apart. If a car and a train leave Carlisle at the same, and the car travels at a rate of 25mph faster than the train, find the speed of the train if the car takes 2 hours less than the train to Springfield. \r<BR>\n" );
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document.write( "Can't even figure out where to start, should I be using a quadratic equation? Thank you so much!\r<BR>\n" );
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document.write( "Let speed of train be S<BR>\n" );
document.write( "Then speed of car = S + 25<BR>\n" );
document.write( "Time train takes to travel to Springfield = 100/S<BR>\n" );
document.write( "Time car takes to travel to Springfield = 100/(S + 25)\r<BR>\n" );
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document.write( "As time car takes to travel to Springfield is 2 hours less than time taken by train to travel to Springfield, we create a TIME EQUATION, which is:\r<BR>\n" );
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document.write( "Time taken by car, equals time taken by train, less 2 hours, OR\r<BR>\n" );
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document.write( "100/(S + 25) = 100/S – 2\r<BR>\n" );
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document.write( "100S = 100(S + 25) – 2(S)(S + 25) ------ Multiplying by LCD, S(S + 25)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100S+=+100S+%2B+2500+-+2S%5E2+-+50S ALIGN=MIDDLE  ALT=\"100S+=+100S+%2B+2500+-+2S%5E2+-+50S\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S%5E2+%2B+100S+-+100S+%2B+50S+-+2500+=+0 ALIGN=MIDDLE  ALT=\"2S%5E2+%2B+100S+-+100S+%2B+50S+-+2500+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S%5E2+%2B+50S+-+2500+=+0 ALIGN=MIDDLE  ALT=\"2S%5E2+%2B+50S+-+2500+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28S%5E2+%2B+25S+-+1250%29+=+2%280%29 ALIGN=MIDDLE  ALT=\"2%28S%5E2+%2B+25S+-+1250%29+=+2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+%2B+25S+-+1250+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+%2B+25S+-+1250+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(S - 25)(S + 50) = 0\r<BR>\n" );
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document.write( "S, or speed of train = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2825%29 ALIGN=MIDDLE  ALT=\"highlight_green%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph		OR				S = - 50 (ignore)\r<BR>\n" );
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document.write( "You can do the check!! \r<BR>\n" );
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document.write( "Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com </SPAN>\n" );
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