document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=651130>Question 651130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"A tortoise crawling at a rate of 0.1mi/h passes a resting hare. The hare wants to rest another 30 minutes before chasing the tortoise at a rate of 5mi/h. How many feet must the hare run to catch the tortoise?\"\r<BR>\n" );
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document.write( "I know what the answer is, I just don't know how to get it. I know how to get part of the distance but can you please explain in detail how to get the extra distance the hare has to travel since the tortoise is still moving once the hare starts running? And can you please show me why/how it works? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407586 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "\"A tortoise crawling at a rate of 0.1mi/h passes a resting hare. The hare wants to rest another 30 minutes before chasing the tortoise at a rate of 5mi/h. How many feet must the hare run to catch the tortoise?\"\r<BR>\n" );
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document.write( "The time taken by the tortoise to get to the \"catch-up\" point, equals the time it takes the hare to get to the \"catch-up point,\" PLUS 30 minutes (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour, or 0.5 hour). This is written as:\r<BR>\n" );
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document.write( "D/0.1 = D/5 + 0.5<BR>\n" );
document.write( "5D = .1D + .25 ------ Multiplying by LCD, 0.5<BR>\n" );
document.write( "5D - .1D = .25<BR>\n" );
document.write( "4.9D = .25<BR>\n" );
document.write( "D, or distance hare needs to travel to catch up to the tortoise = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2F4.9 ALIGN=MIDDLE  ALT=\".25%2F4.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 0.5102 mile\r<BR>\n" );
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document.write( "Distance for hare to cover = 0.05102 mile<BR>\n" );
document.write( "5,280 ft = 1 mile\r<BR>\n" );
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document.write( "Therefore, we have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5280%2FF+=+1%2F0.05102 ALIGN=MIDDLE  ALT=\"5280%2FF+=+1%2F0.05102\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with F being distance in feet the hare needs to run\r<BR>\n" );
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document.write( "Cross-multiplying, we get: F = 5,280 * 0.05102\r<BR>\n" );
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document.write( "F, or distance the hare needs to run to catch up to the tortoise = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28269.39%29 ALIGN=MIDDLE  ALT=\"highlight_green%28269.39%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com  </SPAN>\n" );
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