document.write( "Question 349632: Allison and Rachel are taking a trip together. They decide to share the driving responsibilities for the 480 mile drive. Allison drove at an average rate of 50 mph and Rachel drove at an average rate of 40 mph. If Allison drover 45 minutes more than Rachel, then how far did Rachel drive? \n" ); document.write( "

Algebra.Com's Answer #249922 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
For Allison:
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+50t\"$
\n" ); document.write( "For Rachel:
\n" ); document.write( " $\"480+-+d+=+40%2A%28t+-+3%2F4%29\"$
\n" ); document.write( "----------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"480+-+50t+=+40t+-+30\"$
\n" ); document.write( " $\"90t+=+510\"$
\n" ); document.write( " $\"t+=+5.667\"$
\n" ); document.write( " $\"d+=+50t\"$
\n" ); document.write( " $\"d+=+283.333\"$
\n" ); document.write( "Rachel drove:
\n" ); document.write( " $\"480+-+283.333+=+196.667\"$ mi
\n" ); document.write( "check answer:
\n" ); document.write( " $\"480+-+d+=+40%2A%28t+-+3%2F4%29\"$
\n" ); document.write( " $\"480+-+283.333+=+40%2A%285.667+-+.75%29\"$
\n" ); document.write( " $\"196.667+=+40%2A4.9167\"$
\n" ); document.write( " $\"196.667+=+196.667\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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