document.write( "Question 1065649: two families who lived 63 miles apart met at a park between their homes for a picnic. how long did each drive if both travelled at a rate of 45 miles an hour and one drove 12 minutes longer than the other? how to solve it?
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Algebra.Com's Answer #680844 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the distance in miles that the
\n" ); document.write( "one who drove for the shorter time traveled
\n" ); document.write( " $\"+63+-+d+\"$ = the distance in miles the one
\n" ); document.write( "who drove for the longer time traveled
\n" ); document.write( "Let $\"+t+\"$ = time in hrs that the one who
\n" ); document.write( "drove for the shorter time traveled
\n" ); document.write( " $\"+t+%2B+12%2F60+\"$ = time in hrs that the one
\n" ); document.write( "who drove for the longer time traveled
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\n" ); document.write( "(1) $\"+d+=+45t+\"$
\n" ); document.write( "(2) $\"+63+-+d+=+45%2A%28+t+%2B+1%2F5+%29+\"$
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\n" ); document.write( "( note that $\"+12%2F60+=+1%2F5+\"$ )
\n" ); document.write( "(2) $\"+63+-+d+=+45t+%2B+9+\"$
\n" ); document.write( "(2) $\"+d+%2B+45t+=+54+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+45t+%2B+45t+=+54+\"$
\n" ); document.write( "(2) $\"+90t+=+54+\"$
\n" ); document.write( "(2) $\"+t+=+3%2F5+\"$ hrs
\n" ); document.write( "Convert to minutes
\n" ); document.write( "(2) $\"+t+=+%28+3%2F5+%29%2A60+\"$
\n" ); document.write( "(2) $\"+t+=+36+\"$ min
\n" ); document.write( "and
\n" ); document.write( " $\"+36+%2B+12+=+48+\"$
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\n" ); document.write( "One drove for 36 min
\n" ); document.write( "The other drove for 48 min
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\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+45t+\"$ ( $\"+t+\"$ must be in hrs here )
\n" ); document.write( "(1) $\"+d+=+45%2A%283%2F5%29+\"$
\n" ); document.write( "(1) $\"+d+=+27+\"$ mi
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+63+-+d+=+45%2A%28+t+%2B+1%2F5+%29+\"$
\n" ); document.write( "(2) $\"+63+-+d+=+45%2A%28+3%2F5+%2B+1%2F5+%29+\"$
\n" ); document.write( "(2) $\"+63+-+d+=+%28+4%2F5+%29%2A45+\"$
\n" ); document.write( "(2) $\"+63+-+d+=+36+\"$
\n" ); document.write( "(2) $\"+d+=+63+-+36+\"$
\n" ); document.write( "(2) $\"+d+=+27+\"$ mi
\n" ); document.write( "OK\r
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