document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227721>Question 227721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed of train A is 12 km/hr is slower than the speed of train B. Train A travels 230 km in the same time it takes train B to travel 290 km,. Find the speed of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169192 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The speed of train A is 12 km/hr is slower than the speed of train B. Train A travels 230 km in the same time it takes train B to travel 290 km,. Find the speed of each.\r<BR>\n" );
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document.write( "Step 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distance=speed+%2A+time ALIGN=MIDDLE  ALT=\"distance=speed+%2A+time\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time=distance%2Fspeed ALIGN=MIDDLE  ALT=\"time=distance%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  Let x be the speed of train B\r<BR>\n" );
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document.write( "Step 3.  Let x-12 be the speed of train A since it is 12 km/hr slower.\r<BR>\n" );
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document.write( "Step 4.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time=distance%2Fspeed=230%2F%28x-12%29 ALIGN=MIDDLE  ALT=\"time=distance%2Fspeed=230%2F%28x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the time traveled by train A.\r<BR>\n" );
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document.write( "Step 5.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time=distance%2Fspeed=290%2Fx ALIGN=MIDDLE  ALT=\"time=distance%2Fspeed=290%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the time traveled by train B.\r<BR>\n" );
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document.write( "Step 6.  Set the equations in Steps 4 and 6 since they traveled at the same time.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2F%28x-12%29=290%2Fx ALIGN=MIDDLE  ALT=\"230%2F%28x-12%29=290%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-12%29 ALIGN=MIDDLE  ALT=\"x%28x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of the equation to get rid of the denominators.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-12%29%2A%28230%2F%28x-12%29%29=x%28x-12%29%2A%28290%2Fx%29 ALIGN=MIDDLE  ALT=\"x%28x-12%29%2A%28230%2F%28x-12%29%29=x%28x-12%29%2A%28290%2Fx%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=230x=290%28x-12%29 ALIGN=MIDDLE  ALT=\"230x=290%28x-12%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=230x=290x-290%2A12 ALIGN=MIDDLE  ALT=\"230x=290x-290%2A12\"   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=230x=290x-3480 ALIGN=MIDDLE  ALT=\"230x=290x-3480\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 3480-230x to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230x%2B3480-230x=290x-3480%2B34080-230x ALIGN=MIDDLE  ALT=\"230x%2B3480-230x=290x-3480%2B34080-230x\"   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=3480=60x ALIGN=MIDDLE  ALT=\"3480=60x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 60 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3480%2F60=60x%2F60 ALIGN=MIDDLE  ALT=\"3480%2F60=60x%2F60\"   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=x=58 ALIGN=MIDDLE  ALT=\"x=58\"   DISABLED_style= \"max-width:90%; height:auto;\" > speed of  Train B and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-12=46%7D%7D+speed+of+Train+A.%0D%0A%0D%0A%0D%0ACheck+if+times%3A++%7B%7B%7B230%2F46=290%2F58=5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > hours which is a true statement.\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  The speed of Train A is 46 km/hr and speed of Train B is 58 km/hr.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV </SPAN>\n" );
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