document.write( "Question 202145: A jogger runs a distance at a speed of 8mph and returns the same distance running at a speed of 6mph. Find the total distance that the jogger runs if total time running is 1 hour and 45 min. \n" ); document.write( "

Algebra.Com's Answer #152398 by josmiceli(19441) $\"\"$ $\"About$

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Use 2 distance formulas
\n" ); document.write( " $\"d+=+r%5B1%5D%2At%5B1%5D\"$
\n" ); document.write( "and
\n" ); document.write( " $\"d+=+r%5B2%5D%2At%5B2%5D\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"r%5B1%5D+=+8\"$ mi/hr
\n" ); document.write( " $\"r%5B2%5D+=+6\"$ mi/hr
\n" ); document.write( " $\"t%5B1%5D+%2B+t%5B2%5D+=+7%2F4\"$ hr
\n" ); document.write( " $\"d+=+8%2At%5B1%5D\"$
\n" ); document.write( " $\"d+=+6%2At%5B2%5D\"$
\n" ); document.write( "and
\n" ); document.write( " $\"t%5B1%5D+=+d%2F8\"$
\n" ); document.write( " $\"t%5B2%5D+=+d%2F6\"$
\n" ); document.write( " $\"t%5B1%5D+%2B+t%5B2%5D+=+d%2A%281%2F8+%2B+1%2F6%29\"$
\n" ); document.write( " $\"7%2F4+=+d%2A%281%2F8+%2B+1%2F6%29\"$
\n" ); document.write( "Multiply both sides by n $\"24\"$
\n" ); document.write( " $\"42+=+d%2A%283+%2B+4%29\"$
\n" ); document.write( " $\"d+=+42%2F7\"$
\n" ); document.write( " $\"d+=+6\"$ mi
\n" ); document.write( "The total distance the jogger runs is $\"2d\"$
\n" ); document.write( " $\"2d+=+12\"$ mi answer
\n" ); document.write( " \n" ); document.write( "

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