document.write( "Question 187393This question is from textbook Algebra 1
\n" ); document.write( ": Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apart? \n" ); document.write( "
Algebra.Com's Answer #140463 by josmiceli(19441)\"\" \"About 
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For the 30 mi/hr car:
\n" ); document.write( "(1) \"d%5B1%5D+=+r%5B1%5D%2At%5B1%5D\"
\n" ); document.write( "For the 46 mi/hr car:
\n" ); document.write( "(2) \"d%5B2%5D+=+r%5B2%5D%2At%5B2%5D\"
\n" ); document.write( "given:
\n" ); document.write( "\"t%5B1%5D+=+t%5B2%5D\"
\n" ); document.write( "\"r%5B1%5D+=+30\"
\n" ); document.write( "\"r%5B2%5D+=+46\"
\n" ); document.write( "------------------
\n" ); document.write( "\"d%5B2%5D+=+d%5B1%5D+%2B+72\"
\n" ); document.write( "The faster car goes 72 mi further than the slower car
\n" ); document.write( "I can rewrite (1) and (2)
\n" ); document.write( "(1) \"d%5B1%5D+=+30t%5B1%5D\"
\n" ); document.write( "(2) \"d%5B1%5D+%2B+72+=+46t%5B1%5D\"
\n" ); document.write( "(2) \"d%5B1%5D+=+46t%5B1%5D+-+72\"
\n" ); document.write( "Note that \"t%5B1%5D+=+t%5B2%5D\" since they travel different
\n" ); document.write( "distances but in the same amount of time
\n" ); document.write( "Since both left sides are \"d%5B1%5D\", I can set the
\n" ); document.write( "right sides equal to eachother
\n" ); document.write( "\"30t%5B1%5D+=+46t%5B1%5D+-+72\"
\n" ); document.write( "\"16t%5B1%5D+=+72\"
\n" ); document.write( "\"t%5B1%5D+=+4.5\" hr
\n" ); document.write( "and
\n" ); document.write( "\"t%5B2%5D+=+4.5\" hr also
\n" ); document.write( "In 4.5 hrs they will be 72 mi apart
\n" ); document.write( "Now check the answer:
\n" ); document.write( "(1) \"d%5B1%5D+=+30t%5B1%5D\"
\n" ); document.write( "(1) \"d%5B1%5D+=+30%2A4.5\"
\n" ); document.write( "(1) \"d%5B1%5D+=+135\" mi
\n" ); document.write( "and
\n" ); document.write( "(2) \"d%5B1%5D+%2B+72+=+46t%5B1%5D\"
\n" ); document.write( "(2) \"135+%2B+72+=+46%2A4.5\"
\n" ); document.write( "(2) \"207+=+207\"
\n" ); document.write( "OK
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