document.write( "Question 165580: A jet flew at an average speed of 500 mph from Metro City to Farmville. Because of a favorable tailwind, the jet averaged 600 mph on the return trip, and the return trip was shortened by 50 minutes. How far is it from Metro City to Farmville? \n" ); document.write( "

Algebra.Com's Answer #122088 by josmiceli(19441) $\"\"$ $\"About$

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The distance is the same on both trips
\n" ); document.write( " $\"d+=+r%5B1%5D%2At%5B1%5D\"$
\n" ); document.write( " $\"d+=+r%5B2%5D%2At%5B2%5D\"$
\n" ); document.write( " $\"r%5B1%5D+=+500\"$ mi/hr
\n" ); document.write( " $\"r%5B2%5D+=+600\"$ mi/hr
\n" ); document.write( "Also given is
\n" ); document.write( " $\"t%5B2%5D+=+t%5B1%5D+-+50%2F60\"$ hrs
\n" ); document.write( " $\"r%5B1%5D%2At%5B1%5D+=+r%5B2%5D%2At%5B2%5D\"$
\n" ); document.write( " $\"500+%2At%5B1%5D+=+600%2A%28t%5B1%5D+-+5%2F6%29\"$
\n" ); document.write( " $\"100t%5B1%5D+=+500\"$
\n" ); document.write( " $\"t%5B1%5D+=+5\"$ hrs
\n" ); document.write( " $\"d+=+500t%5B1%5D\"$
\n" ); document.write( " $\"d+=+500%2A5\"$
\n" ); document.write( " $\"d+=+2500\"$ mi
\n" ); document.write( "And also
\n" ); document.write( " $\"d+=+600%2A%285+-+%285%2F6%29%29\"$
\n" ); document.write( " $\"d+=+600%2A%2825%2F6%29\"$
\n" ); document.write( " $\"d+=+2500\"$
\n" ); document.write( "It is 2500 mi from Metro City to Farmville
\n" ); document.write( " \n" ); document.write( "

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