document.write( "Question 274940: A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the towns?. \n" ); document.write( "

Algebra.Com's Answer #200644 by josmiceli(19441) $\"\"$ $\"About$

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$\"d+=+r%2At\"$
\n" ); document.write( "(1) $\"d+=+32t\"$
\n" ); document.write( " $\"d+=+%2832+%2B+4%29%2A%28t+-+.5%29\"$
\n" ); document.write( " $\"d+=+36%2A%28t+-+.5%29\"$
\n" ); document.write( "(2) $\"d+=+36t+-+18\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( " $\"32t+=+36t+-+18\"$
\n" ); document.write( " $\"4t+=+18\"$
\n" ); document.write( " $\"t+=+4.5\"$ hrs
\n" ); document.write( "and, since
\n" ); document.write( " $\"d+=+32t\"$
\n" ); document.write( " $\"d+=+32%2A4.5\"$
\n" ); document.write( " $\"d+=+144\"$ mi \n" ); document.write( "

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