document.write( "Question 771246: Two trains start at the same time from two stations and proceed towards each other with speeds 40 km/hr and 45 km/hr respectively.When they meet it is found that one train has traveled 40 km more than the other. Find the distance between the two stations? \n" ); document.write( "

Algebra.Com's Answer #470181 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = the distance the slower train travels in km
\n" ); document.write( " $\"+d+%2B+40+\"$ = the distance the faster train travels in km
\n" ); document.write( "-----------
\n" ); document.write( " $\"+d+=+40t+\"$
\n" ); document.write( " $\"+d+%2B+40+=+45t+\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"+t+=+d%2F40+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+d+%2B+40+=+45%2A%28+d%2F40+%29+\"$
\n" ); document.write( " $\"+40d+%2B+1600+=+45d+\"$
\n" ); document.write( " $\"+5d+=+1600+\"$
\n" ); document.write( " $\"+d+=+320+\"$
\n" ); document.write( "The distance between the stations is
\n" ); document.write( " $\"+d+%2B+d+%2B+40+=+320+%2B+320+%2B+40+\"$
\n" ); document.write( " $\"+2d+%2B+40+=+680+\"$
\n" ); document.write( "680 km
\n" ); document.write( "----------
\n" ); document.write( "check:
\n" ); document.write( " $\"+d+=+40t+\"$
\n" ); document.write( " $\"+320+=+40t+\"$
\n" ); document.write( " $\"+t+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+d+%2B+40+=+45t+\"$
\n" ); document.write( " $\"+320+%2B+40+=+45t+\"$
\n" ); document.write( " $\"+45t+=+360+\"$
\n" ); document.write( " $\"+t+=+8+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );