document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128016>Question 128016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me i have no clue how to do this!\r<BR>\n" );
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document.write( "Years after the famous foot race, the hare has challenged the turtle to a rematch on bycicles.  that hare can pedal a rate of 15mph while the tortise can only travel 12 mph.  knowing he was slower, the tortoise requested haveing a 27 mile head start in the 165 mile race.\r<BR>\n" );
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document.write( "1. WHo won the race? by How much Time?\r<BR>\n" );
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document.write( "2.  How far into the Race did the hare overtake the tortise?\r<BR>\n" );
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document.write( "3.  What is the largest head start the tortise could have been given without being able to beet the hare?\r<BR>\n" );
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document.write( "4.  suppose a chipmunk entered the race with a 84 miles head start and can pedal at 9 mph. develope an equation for the chipmunk and calculate when the hare would finally catch up to the chipmunk assuming the race doesn't end @ 165 miles.\r<BR>\n" );
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document.write( "5.<BR>\n" );
document.write( "a pig enters the race.  he starts at the finish line riding backwards, at a rate of 15mph where and when will he meet the hare on the road?\r<BR>\n" );
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document.write( "THank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93752 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start your stopwatch when the hare starts<BR>\n" );
document.write( "the race. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165+-+27+=+138 ALIGN=MIDDLE  ALT=\"165+-+27+=+138\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the distance<BR>\n" );
document.write( "the tortoise has left to go.<BR>\n" );
document.write( "His time is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=138+%2F+12+=+11.5 ALIGN=MIDDLE  ALT=\"138+%2F+12+=+11.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs to the<BR>\n" );
document.write( "finish line. The hares time on the same stopwatch<BR>\n" );
document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165+%2F+15+=+11 ALIGN=MIDDLE  ALT=\"165+%2F+15+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs, so the hare gets to<BR>\n" );
document.write( "the finish 1/2 hr before the tortoise<BR>\n" );
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document.write( "When the stopwatch starts, when has the tortoise<BR>\n" );
document.write( "gone <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi and the hare gone <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+27 ALIGN=MIDDLE  ALT=\"d+%2B+27\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "Their times will be the same.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d+%2F+12 ALIGN=MIDDLE  ALT=\"t+=+d+%2F+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the tortoise<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28d+%2B+27%29+%2F+15 ALIGN=MIDDLE  ALT=\"t+=+%28d+%2B+27%29+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the hare<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F12+=+%28d+%2B+27%29+%2F+15 ALIGN=MIDDLE  ALT=\"d%2F12+=+%28d+%2B+27%29+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A15 ALIGN=MIDDLE  ALT=\"12%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15d+=+12%28d+%2B+27%29 ALIGN=MIDDLE  ALT=\"15d+=+12%28d+%2B+27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15d+=+12d+%2B+324 ALIGN=MIDDLE  ALT=\"15d+=+12d+%2B+324\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d+=+324 ALIGN=MIDDLE  ALT=\"3d+=+324\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+108 ALIGN=MIDDLE  ALT=\"d+=+108\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "So, when the tortoise has gone 108 mi and the <BR>\n" );
document.write( "hare has gone <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108+%2B+27+=+135 ALIGN=MIDDLE  ALT=\"108+%2B+27+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi, the hare<BR>\n" );
document.write( "passes the tortoise. This is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+108%2F12 ALIGN=MIDDLE  ALT=\"t+=+108%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+9 ALIGN=MIDDLE  ALT=\"t+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs on the stopwatch<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d+%2F+12 ALIGN=MIDDLE  ALT=\"t+=+d+%2F+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the tortoise<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28d+%2B+h%29+%2F+15 ALIGN=MIDDLE  ALT=\"t+=+%28d+%2B+h%29+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the hare<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the headstart for the tortoise. <BR>\n" );
document.write( "Make their times equal on the stopwatch and<BR>\n" );
document.write( "set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+165+-+27 ALIGN=MIDDLE  ALT=\"d+=+165+-+27\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+138 ALIGN=MIDDLE  ALT=\"d+=+138\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=138%2F12+=+%28138+%2B+h%29+%2F+15 ALIGN=MIDDLE  ALT=\"138%2F12+=+%28138+%2B+h%29+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A138+=+12%28138+%2B+h%29 ALIGN=MIDDLE  ALT=\"15%2A138+=+12%28138+%2B+h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2070+=+1656+%2B+12h ALIGN=MIDDLE  ALT=\"2070+=+1656+%2B+12h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12h+=+2070+-+1656 ALIGN=MIDDLE  ALT=\"12h+=+2070+-+1656\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12h+=+414 ALIGN=MIDDLE  ALT=\"12h+=+414\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+34.5 ALIGN=MIDDLE  ALT=\"h+=+34.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "If the totoise gets a 34.5 mi headstart, <BR>\n" );
document.write( "they will meet at the finish line<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "For chipmunk:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d+%2F+9 ALIGN=MIDDLE  ALT=\"t+=+d+%2F+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For hare:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28d+%2B+84%29+%2F+15 ALIGN=MIDDLE  ALT=\"t+=+%28d+%2B+84%29+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "set the times equal<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d++%2F9+=+%28d+%2B+84%29+%2F+15 ALIGN=MIDDLE  ALT=\"d++%2F9+=+%28d+%2B+84%29+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15d+=+9%2A%28d+%2B+84%29 ALIGN=MIDDLE  ALT=\"15d+=+9%2A%28d+%2B+84%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15d+=+9d+%2B+756 ALIGN=MIDDLE  ALT=\"15d+=+9d+%2B+756\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6d+=+756 ALIGN=MIDDLE  ALT=\"6d+=+756\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+126 ALIGN=MIDDLE  ALT=\"d+=+126\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The chipmunk has gone 126 mi and <BR>\n" );
document.write( "the hare has gone <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+84+=+210 ALIGN=MIDDLE  ALT=\"d+%2B+84+=+210\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "The time is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d%2F+9 ALIGN=MIDDLE  ALT=\"t+=+d%2F+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+126+%2F+9 ALIGN=MIDDLE  ALT=\"t+=+126+%2F+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+14 ALIGN=MIDDLE  ALT=\"t+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs on the stopwatch<BR>\n" );
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document.write( "The pig and the hare are heading towards<BR>\n" );
document.write( "eachother at the same rate.<BR>\n" );
document.write( "When they meet, their times will be the<BR>\n" );
document.write( "same on the stopwatch, and the sum of the<BR>\n" );
document.write( "distances they cover will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165 ALIGN=MIDDLE  ALT=\"165\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi.<BR>\n" );
document.write( "For hare:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d%5Bh%5D+%2F+15 ALIGN=MIDDLE  ALT=\"t+=+d%5Bh%5D+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For pig:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d%5Bp%5D+%2F+15 ALIGN=MIDDLE  ALT=\"t+=+d%5Bp%5D+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Their times are equal, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bh%5D+%2F+15+=+d%5Bp%5D+%2F+15 ALIGN=MIDDLE  ALT=\"d%5Bh%5D+%2F+15+=+d%5Bp%5D+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bp%5D+=+d%5Bh%5D ALIGN=MIDDLE  ALT=\"d%5Bp%5D+=+d%5Bh%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bp%5D+%2B+d%5Bh%5D+=+165 ALIGN=MIDDLE  ALT=\"d%5Bp%5D+%2B+d%5Bh%5D+=+165\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%5Bp%5D+=+82.5 ALIGN=MIDDLE  ALT=\"df%5Bp%5D+=+82.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bh%5D+=+82.5 ALIGN=MIDDLE  ALT=\"d%5Bh%5D+=+82.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+82.5+%2F+15 ALIGN=MIDDLE  ALT=\"t+=+82.5+%2F+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+5.5 ALIGN=MIDDLE  ALT=\"t+=+5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "The pig and the hare will meet <BR>\n" );
document.write( "in 5.5 hours halfway to the finish\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "  </SPAN>\n" );
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