document.write( "Question 1024860: At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a speed of 44 mph. At 1 P.M. a second train leaves Charleston headed for Washington, D.C., traveling at 32 mph. How long after the train leaves Charleston will the two trains pass each other? \n" ); document.write( "

Algebra.Com's Answer #640238 by josmiceli(19441) $\"\"$ $\"About$

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In 1 hour ( noon to 1 PM ), how far does the
\n" ); document.write( "1st train get?
\n" ); document.write( " $\"+d%5B1%5D+=+44%2A1+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+44+\"$ mi
\n" ); document.write( "---------------
\n" ); document.write( "Start a stopwatch when the 2nd train leaves Charleston
\n" ); document.write( "Let $\"+t+\"$ = time on stopwatch in hours when
\n" ); document.write( "the trains pass eachother
\n" ); document.write( "Let $\"+d+\"$ = distance in miles that the 2nd train
\n" ); document.write( "travels until they pass eachother
\n" ); document.write( "---------------------------
\n" ); document.write( "Equation for the 1st train:
\n" ); document.write( "(1) $\"+500+-+44+-+d+=+44t+\"$
\n" ); document.write( "Equation for the 2nd train:
\n" ); document.write( "(2) $\"+d+=+32t+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Sustitute (2) into (1)
\n" ); document.write( "(1) $\"+500+-+44+-32t+=+44t+\"$
\n" ); document.write( "(1) $\"+456+-+32t+=+44t+\"$
\n" ); document.write( "(1) $\"+76t+=+456+\"$
\n" ); document.write( "(1) $\"+t+=+6+\"$
\n" ); document.write( "6 hours after the train leaves Charleston
\n" ); document.write( "the two trains pass each other
\n" ); document.write( "-------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+d+=+32t+\"$
\n" ); document.write( "(2) $\"+d+=+32%2A6+\"$
\n" ); document.write( "(2) $\"+d+=+192+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+500+-+44+-+d+=+44t+\"$
\n" ); document.write( "(1) $\"+500+-+44+-+d+=+44%2A6\"$
\n" ); document.write( "(1) $\"+500+-+44+-+d+=+264\"$
\n" ); document.write( "(1) $\"+d+=+500+-+44+-+264+\"$
\n" ); document.write( "(1) $\"+d+=+500+-+308+\"$
\n" ); document.write( "(1) $\"+d+=+192+\"$
\n" ); document.write( "OK
\n" ); document.write( "-----------------
\n" ); document.write( "Note that in the 6 hrs, train 1 travels
\n" ); document.write( " $\"+500+-+44+-+192+=+264+\"$ mi
\n" ); document.write( "and train 2 travels $\"+192+\"$ mi
\n" ); document.write( " $\"+264+%2B+192+=+456+\"$
\n" ); document.write( "and $\"+456+%2B+44+=+500+\"$
\n" ); document.write( "total distance traveled by both \n" ); document.write( "

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