document.write( "Question 883516: Two trains start at the same time from two stations and proceed towards each other with speed 40km/hr and 45km/hr respectively. When they meet it is found that one train has travelled 40km more than the other. Find the distance between the two stations. \n" ); document.write( "
Algebra.Com's Answer #533583 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" km = the distance that the
\n" ); document.write( "\"+40+\" km/hr train travels
\n" ); document.write( "\"+d+%2B+40+\" km = the distance the
\n" ); document.write( "\"+45+\" km/hr train travels
\n" ); document.write( "---------------------------------------
\n" ); document.write( "Let \"+t+\" = the time in hrs for them to meet
\n" ); document.write( "Equation for \"+40+\" km/hr train:
\n" ); document.write( "(1) \"+d+=+40t+\"
\n" ); document.write( "Equation for \"+45+\" km/hr train:
\n" ); document.write( "(2) \"+d+%2B+40+=+45t+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+40t+%2B+40+=+45t+\"
\n" ); document.write( "(2) \"+5t+=+40+\"
\n" ); document.write( "(2) \"+t+=+8+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+40t+\"
\n" ); document.write( "(1) \"+d+=+40%2A8+\"
\n" ); document.write( "(1) \"+d+=+320+\"
\n" ); document.write( "and
\n" ); document.write( "\"+d+%2B+40+=+360+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+d+%2B+d+%2B+40+=+320+%2B+360+\"
\n" ); document.write( "\"+d+%2B+d+%2B+40+=+680+\"
\n" ); document.write( "The stations are 680 km apart
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\n" ); document.write( "check answer:
\n" ); document.write( "I can think of one train standing still and
\n" ); document.write( "the other traveling at the sum of their speeds
\n" ); document.write( "for the whole \"+680+\" km for \"+8+\" hrs
\n" ); document.write( "\"+680+=+%28+40+%2B+45+%29%2A8+\"
\n" ); document.write( "\"+680+=+85%2A8+\"
\n" ); document.write( "\"+680+=+680+\"
\n" ); document.write( "OK\r
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