document.write( "Question 1158063: A train leaves toronto to Montreal travelling (60km)/(h ) a second train leaves toronto heading for Montreal half an hour later at (75km)/(h) how long will it take for the second train to catch up to the first train? \n" ); document.write( "
Algebra.Com's Answer #780999 by josmiceli(19441)\"\" \"About 
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The head start of the 1st train is:
\n" ); document.write( "\"+d%5B1%5D+=+60%2A%281%2F2%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+30+\" km
\n" ); document.write( "Let \"+d+\" = the distance the 2nd train travels
\n" ); document.write( "until it catches the 1st train
\n" ); document.write( "Let \"+t+\" = time in hrs for the 2nd train to
\n" ); document.write( "catch the 1st train
\n" ); document.write( "Start a stopwatch hen the 2nd train leaves
\n" ); document.write( "----------------------------
\n" ); document.write( "Equation for the 1st train:
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+=+60t+\"
\n" ); document.write( "Equation for the 2nd train:
\n" ); document.write( "(2) \"+d+=+75t+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) \"+d+-+30+=+60t+\"
\n" ); document.write( "Plug (2) into (1)
\n" ); document.write( "(1) \"+75t+-+30+=+60t+\"
\n" ); document.write( "(1) \"+15t+=+30+\"
\n" ); document.write( "(1) \"+t+=+2+\"
\n" ); document.write( "It takes 2 hrs for the 2nd train to catch the 1st train
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+75t+\"
\n" ); document.write( "(2) \"+d+=+75%2A2+\"
\n" ); document.write( "(2) \"+d+=+150+\" km
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+=+60t+\"
\n" ); document.write( "(1) \"+d+-+30+=+60%2A2+\"
\n" ); document.write( "(1) \"+d+=+30+%2B+120+\"
\n" ); document.write( "(1) \"+d+=+150+\" km
\n" ); document.write( "OK
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