document.write( "Question 919850: A diesel train left Miami and traveled toward Johannesburg at an average speed of 10 mph. A freight train left 11 hours later and traveled in the opposite direction with an average speed of 60 mph. How long does the freight train need to travel before the trains are 390 mi. apart?\r
\n" ); document.write( "\n" ); document.write( "I know that I am supposed to set up a distance, rate, time chart and fill in the information and then set up and equation, but I am not entirely sure how to set up the equation here, because of the fact that the freight train left 11 hours later.
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Algebra.Com's Answer #558023 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I use a logical story-line approach
\n" ); document.write( "What is the diesel train's head start in miles?
\n" ); document.write( "\"+d%5B1%5D+=+10%2A11+\"
\n" ); document.write( "\"+d%5B1%5D+=+110+\" mi
\n" ); document.write( "-------------------
\n" ); document.write( "Start a stopwatch when the freight train leaves Miami
\n" ); document.write( "Let \"+t+\" = time in hrs on the stop watch when
\n" ); document.write( "the trains are \"+390+\" mi apart
\n" ); document.write( "Let \"+d+\" = the distance in miles that the
\n" ); document.write( "freight train travels until they are \"+390+\" mi apart
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\n" ); document.write( "Diesel's equation:
\n" ); document.write( "(1) \"+390+-+110+-+d+=+10t+\"
\n" ); document.write( "Freight train's equation:
\n" ); document.write( "(2) \"+d+=+60t+\"
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\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+390+-+110+-+60t+=+10t+\"
\n" ); document.write( "(1) \"+280+-+60t+=+10t+\"
\n" ); document.write( "(1) \"+70t+=+280+\"
\n" ); document.write( "(1) \"+t+=+4+\"
\n" ); document.write( "---------------
\n" ); document.write( "The freight train travels for 4 hrs until they are 390 mi apart
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+60%2A4+\"
\n" ); document.write( "(2) \"+d+=+240+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+390+-+110+-+d+=+10t+\"
\n" ); document.write( "(1) \"+390+-+110+-+240+=+10%2A4+\"
\n" ); document.write( "(1) \"+40+=+40+\"
\n" ); document.write( "OK\r
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