document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230564>Question 230564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two sports cars leave the city at 9 a.m. One heads due south at 60 mph, the other car travels east at 45 mph. How far apart are they at noon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170721 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=170721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two sports cars leave the city at 9 a.m. One heads due south at 60 mph, the other car travels east at 45 mph. How far apart are they at noon?\r<BR>\n" );
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document.write( "Step 1.  The two cars travel for 3 hours since the difference between 12 and 9 is 3.\r<BR>\n" );
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document.write( "Step 2.  distance = speed * time\r<BR>\n" );
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document.write( "Step 3.  Let 60*3=180 be the distance of the car traveling south.\r<BR>\n" );
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document.write( "Step 4.  Let 45*3=135 be the distance of the car traveling east.\r<BR>\n" );
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document.write( "Step 5.  Let d be the distance that the cars are apart after 3 hours.\r<BR>\n" );
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document.write( "Step 6.  Use the Pythagorean Theorem to find the distance the two cars are apart after 3 hours.  The theorem states that the sum of the square of the legs of a right triangle is equal to the square of the hypotenuse ( distance the cars are apart in this example).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=180%5E2%2B135%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=180%5E2%2B135%5E2\"   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=d%5E2=32400%2B18225 ALIGN=MIDDLE  ALT=\"d%5E2=32400%2B18225\"   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=d%5E2=50625 ALIGN=MIDDLE  ALT=\"d%5E2=50625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the square root 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=sqrt%28d%5E2%29=sqrt%2850625%29 ALIGN=MIDDLE  ALT=\"sqrt%28d%5E2%29=sqrt%2850625%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=d=225 ALIGN=MIDDLE  ALT=\"d=225\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  The two cars will be 225 miles apart.\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 </SPAN>\n" );
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