document.write( "Question 1050579: A train leaves Danielsville junction in travels north at a speed of 75 mph two hours later a second train leaves on my parallel track and travels north at 125 mph how far from the station will then meet \n" ); document.write( "
Algebra.Com's Answer #666140 by josmiceli(19441)\"\" \"About 
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In 2 hrs, the 1st train's head start is:
\n" ); document.write( "\"+d%5B1%5D+=+75%2A2+\"
\n" ); document.write( "\"+d%5B1%5D+=+150+\" mi
\n" ); document.write( "---------------------
\n" ); document.write( "Start a stopwatch when the 2nd train leaves
\n" ); document.write( "Let \"+t+\" = time in hrs on the stopwatch when
\n" ); document.write( "they meet
\n" ); document.write( "Let \"+d+\" = distance in miles the 2nd train
\n" ); document.write( "travels until they meet
\n" ); document.write( "---------------------
\n" ); document.write( "Equation for 1st train:
\n" ); document.write( "(1) \"+d+-+150+=+75t+\"
\n" ); document.write( "Equation for 2nd train:
\n" ); document.write( "(2) \"+d+=+125t+\"
\n" ); document.write( "----------------------
\n" ); document.write( "substitute (2) into (1)
\n" ); document.write( "(1) \"+125t+-+150+=+75t+\"
\n" ); document.write( "(1) \"+50t+=+150+\"
\n" ); document.write( "(1) \"+t+=+3+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+125t+\"
\n" ); document.write( "(2) \"+d+=+125%2A3+\"
\n" ); document.write( "(2) \"+d+=+375+\" mi
\n" ); document.write( "They will meet 375 mi from the station
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+-+150+=+75t+\"
\n" ); document.write( "(1) \"+d+-+150+=+75%2A3+\"
\n" ); document.write( "(1) \"+d+=+225+%2B+150+\"
\n" ); document.write( "(1) \"+d+=+375+\"
\n" ); document.write( "OK\r
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