document.write( "Question 457889: A long distance trucker traveled 144 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 4 hours less time. Find the speed going. \n" ); document.write( "

Algebra.Com's Answer #314080 by josmiceli(19441) $\"\"$ $\"About$

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You need 2 equations: 1 for going
\n" ); document.write( "and 1 for the return trip
\n" ); document.write( "going:
\n" ); document.write( " $\"+d+=+r%2At+\"$
\n" ); document.write( "(1) $\"+144+=+r%2At+\"$
\n" ); document.write( "returning:
\n" ); document.write( "(2) $\"+144+=+2r%2A%28t+-+4%29+\"$
\n" ); document.write( "From (1):
\n" ); document.write( " $\"+t+=+144%2Fr+\"$
\n" ); document.write( "Substitute this into (2)
\n" ); document.write( "(2) $\"+144+=+2r%2A%28144%2Fr+-+4%29+\"$
\n" ); document.write( "(2) $\"+144+=+288+-+8r+\"$
\n" ); document.write( "(2) $\"+8r+=+144+\"$
\n" ); document.write( "(2) $\"+r+=+18+\"$
\n" ); document.write( "The speed going was 18 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"+144+=+18%2At+\"$
\n" ); document.write( "(1) $\"+t+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+144+=+2%2A18%2A%288+-+4%29+\"$
\n" ); document.write( "(2) $\"+144+=+36%2A4+\"$
\n" ); document.write( "(2) $\"+144+=+144+\"$
\n" ); document.write( "OK\r
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