document.write( "Question 856563: North train leaves at 1:00pm, South train leaves 1:00 pm, trains are 556 miles apart, 30 minutes later the trains pass each other, the north train is traveling 1.586 times faster than the south train, what are the speeds of the trains?
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Algebra.Com's Answer #516034 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = the south train travels
\n" ); document.write( " $\"+556+-+d+\"$ = distance the north train travels
\n" ); document.write( "Let $\"+s+\"$ = the speed of the south train
\n" ); document.write( "----------------
\n" ); document.write( "N. train's equation:
\n" ); document.write( "(1) $\"+556+-+d+=+1.586s%2A%281%2F2%29+\"$
\n" ); document.write( "S. train's equation:
\n" ); document.write( "(2) $\"+d+=+s%2A%281%2F2%29+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+556+-+s%2A%281%2F2%29+=+1.586s%2A%281%2F2%29+\"$
\n" ); document.write( "(1) $\"+556+=+.793s+%2B+.5s+\"$
\n" ); document.write( "(1) $\"+1.293s+=+556+\"$
\n" ); document.write( "(1) $\"+s+=+430.008+\"$
\n" ); document.write( " $\"+1.586%2A430.008+=+681.99+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "The speeds of the trains are:
\n" ); document.write( "430 mi/hr and 682 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+556+-+d+=+1.586%2A430%2A%281%2F2%29+\"$
\n" ); document.write( "(1) $\"+556+-+d+=+341+\"$
\n" ); document.write( "(1) $\"+d+=+215+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+s%2A%281%2F2%29+\"$
\n" ); document.write( "(2) $\"+d+=+215+\"$
\n" ); document.write( "OK\r
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