document.write( "Question 446341: if one train leave the station traveling at 30 mph and another train leaves a half hour later traveling at 50 mph, when will they meet? \n" ); document.write( "

Algebra.Com's Answer #307368 by josmiceli(19441) $\"\"$ $\"About$

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How much of a head start does the 1st train get?
\n" ); document.write( " $\"+d%5B1%5D+=+30%2A.5+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+15+\"$ mi.
\n" ); document.write( "Write equations for both with $\"t\"$ equal to the time
\n" ); document.write( "from when the 2nd train leaves to when they meet,
\n" ); document.write( "and $\"d\"$ = distance the 2nd train has to go to
\n" ); document.write( "where they meet
\n" ); document.write( "1st train:
\n" ); document.write( "(1) $\"+d+-+15+=+30t+\"$
\n" ); document.write( "2nd train:
\n" ); document.write( "(2) $\"+d+=+50t+\"$
\n" ); document.write( "------------
\n" ); document.write( "(1) $\"+d+-+15+=+30t+\"$
\n" ); document.write( "(1) $\"+d+=+30t+%2B+15+\"$
\n" ); document.write( " $\"+30t+%2B+15+=+50t+\"$
\n" ); document.write( " $\"+20t+=+15+\"$
\n" ); document.write( " $\"+t+=+.75+\"$
\n" ); document.write( " $\"+t+%2B+.5+=+1.25+\"$
\n" ); document.write( "They will meet 45 minutes after the 2nd train leaves
\n" ); document.write( "and 1 hour 15 minutes after 1st train leaves
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+-+15+=+30t+\"$
\n" ); document.write( "(1) $\"+d+-+15+=+30%2A.75+\"$
\n" ); document.write( "(1) $\"+d+=+15+%2B+22.5+\"$
\n" ); document.write( "(1) $\"+d+=+37.5+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+50t+\"$
\n" ); document.write( "(2) $\"+d+=+50%2A.75+\"$
\n" ); document.write( "(2) $\"+d+=+37.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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