document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131749>Question 131749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this word problem:\r<BR>\n" );
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document.write( "Chip and Layla found a hole in the fence and decided to make a run for it at the same time. Chip headed north trotting at x miles per hour. Layla ran east, running 2 miles an hour faster than Chip. In 2 hours, they were 20 miles apart (as the crow flies- think hypotenuse). How fast was each dog going? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96183 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C: x mph<BR>\n" );
document.write( "L: x + 2 mph\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the distance Chip ran was 2x (2 hours at x miles per hour), the distance Layla ran was 2(x + 2) (2 hours at x + 2 miles per hour).  Since their directions of travel were 90 degrees apart, the square of Chip's distance plus the square of Layla's distance equals the square of the straight line distance between the two.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B2%29%5E2=20%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B2%29%5E2=20%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=x%5E2%2Bx%5E2%2B4x%2B4=400 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B4x%2B4=400\"   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=2x%5E2%2B4x-396=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-396=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=x%5E2%2B2x-198=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-198=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the quadratic formula on this beast.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A%28-198%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A%28-198%29+%29%29%2F%282%2A1%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=x+=+%28-2+%2B-+sqrt%28+796+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28+796+%29%29%2F2+\"   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=%28-2+%2B+2%2Asqrt%28199%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-2+%2B+2%2Asqrt%28199%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2+-+2%2Asqrt%28199%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-2+-+2%2Asqrt%28199%29%29%2F2\"   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=-1+%2B++sqrt%28199%29 ALIGN=MIDDLE  ALT=\"x=-1+%2B++sqrt%28199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1+-+sqrt%28199%29 ALIGN=MIDDLE  ALT=\"x=-1+-+sqrt%28199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Second root is < 0, therefore extraneous.\r<BR>\n" );
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document.write( "So Chip was going <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Bsqrt%28199%29 ALIGN=MIDDLE  ALT=\"-1%2Bsqrt%28199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph, and Layla managed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsqrt%28199%29 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%28199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a little over 13 and a little over 15 mph respectively.\r<BR>\n" );
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document.write( "Of course, I don't believe it for a minute.  Some breeds of dog can manage 42 mph in a short sprint, but I would be surprised to learn that there is a breed that can sustain 15 or even 13 mph for 2 hours. </SPAN>\n" );
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