document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214693>Question 214693</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321442338/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 27) A train travels 150 km in the same time that a plane covers 400 km. If the speed of the plane is 20 km per hr less than 3 times the speed of the train, find both speeds.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162130 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=162130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train travels 150 km in the same time that a plane covers 400 km. If the speed of the plane is 20 km per hr less than 3 times the speed of the train, find both speeds.\r<BR>\n" );
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document.write( "Step 1.  Let s be the speed of train and let p be the speed of the plane.\r<BR>\n" );
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document.write( "Step 2.  Speed = distance/time or time = distance/speed\r<BR>\n" );
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document.write( "Step 3.  150/s is the time traveled by the train and 400/p is the time traveled by the plane. Set the times of the train and plane to be equal as given.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Fs=400%2Fp ALIGN=MIDDLE  ALT=\"150%2Fs=400%2Fp\"   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=p=400s%2F150=8s%2F3 ALIGN=MIDDLE  ALT=\"p=400s%2F150=8s%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  p=3s-20   where the speed of the plane is 20 km per hr less than 3 times the speed of the train.\r<BR>\n" );
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document.write( "Step 5.  Substitute p in Step 3 into Step 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=3s-20 ALIGN=MIDDLE  ALT=\"p=3s-20\"   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=8s%2F3=3s-20 ALIGN=MIDDLE  ALT=\"8s%2F3=3s-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply 3 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=3%2A8s%2F3=3%2A%283s-20%29 ALIGN=MIDDLE  ALT=\"3%2A8s%2F3=3%2A%283s-20%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=8s=9s-60 ALIGN=MIDDLE  ALT=\"8s=9s-60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 60-8s to both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8s%2B60-8s=9s-60%2B60-8s ALIGN=MIDDLE  ALT=\"8s%2B60-8s=9s-60%2B60-8s\"   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=60=s ALIGN=MIDDLE  ALT=\"60=s\"   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=p=8%2A60%2F3 ALIGN=MIDDLE  ALT=\"p=8%2A60%2F3\"   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=p=160 ALIGN=MIDDLE  ALT=\"p=160\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The speed of the train is 60 km/hr and the speed of the plane is 160 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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or 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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