document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224529>Question 224529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train travels 120 km in the same time that a plane covers 336 km. If the speed of the the plane is 10 km per hour less than 3 times the speed of the train, find both speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167729 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=167729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train travels 120 km in the same time that a plane covers 336 km. If the speed of the the plane is 10 km per hour less than 3 times the speed of the train, find both speeds.\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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=speed+=+distance%2Ftime ALIGN=MIDDLE  ALT=\"speed+=+distance%2Ftime\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Ft ALIGN=MIDDLE  ALT=\"120%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the speed of the train where t is the time traveled in 120 km.\r<BR>\n" );
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document.write( "Step 3.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336%2Ft ALIGN=MIDDLE  ALT=\"336%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the speed of the plane traveled in 336 km with the same time t.\r<BR>\n" );
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document.write( "Step 4.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336%2Ft=3%2A120%2Ft-10 ALIGN=MIDDLE  ALT=\"336%2Ft=3%2A120%2Ft-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the speed of the the plane is 10 km per hour less than 3 times the speed of the train, \r<BR>\n" );
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document.write( "Step 5.  Multiply by t 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=t%2A336%2Ft=t%2A3%2A120%2Ft-t%2A10 ALIGN=MIDDLE  ALT=\"t%2A336%2Ft=t%2A3%2A120%2Ft-t%2A10\"   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=336=360-10t ALIGN=MIDDLE  ALT=\"336=360-10t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 10t-336\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336%2B10t-336=360-10t%2B10t-336 ALIGN=MIDDLE  ALT=\"336%2B10t-336=360-10t%2B10t-336\"   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=10t=24 ALIGN=MIDDLE  ALT=\"10t=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 10 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=10t%2F10=24%2F10 ALIGN=MIDDLE  ALT=\"10t%2F10=24%2F10\"   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=t=2.4 ALIGN=MIDDLE  ALT=\"t=2.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F2.4=50 ALIGN=MIDDLE  ALT=\"120%2F2.4=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336%2F2.4=140 ALIGN=MIDDLE  ALT=\"336%2F2.4=140\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, note that the plane's speed is 10km/hour less than 3 times the speed of the train.\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The speed of the train is 50 km/hr and the plane's speed is 140 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( "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( " </SPAN>\n" );
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