document.write( "Question 1002667: haretown and tortoiseville are 96 miles apart. a hare travels at 9mph from haretown to tortoiseville while a while a tortoise travels at 3mph from tortoiseville to haretown.\r
\n" ); document.write( "\n" ); document.write( "if both set out at the same time how many miles will the hare have to travel before meeting the tortoise en route \n" ); document.write( "

Algebra.Com's Answer #619532 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = distance in miles the hare has to
\n" ); document.write( "travel until meeting the tortoise
\n" ); document.write( " $\"+96+-+d+\"$ = distance the tortoise travels
\n" ); document.write( "until meeting the hare
\n" ); document.write( "Let $\"+t+\"$ = time in hrs
\n" ); document.write( "---------------------
\n" ); document.write( "Hare's equation:
\n" ); document.write( "(1) $\"+d+=+9t+\"$
\n" ); document.write( "Tortoise's equation:
\n" ); document.write( "(2) $\"+96+-+d+=+3t+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+96+-+9t+=+3t+\"$
\n" ); document.write( "(2) $\"+12t+=+96+\"$
\n" ); document.write( "(2) $\"+t+=+8+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+d+=+9t+\"$
\n" ); document.write( "(1) $\"+d+=+9%2A8+\"$
\n" ); document.write( "(1) $\"+d+=+72+\"$
\n" ); document.write( "The Hare travels 72 mi until it meets the tortoise
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+96+-+d+=+3t+\"$
\n" ); document.write( "(2) $\"+96+-+d+=+3%2A8+\"$
\n" ); document.write( "(2) $\"+96+-+d+=+24+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+72+%2B+24+=+96+\"$
\n" ); document.write( " $\"+96+=+96+\"$
\n" ); document.write( "OK \n" ); document.write( "

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