document.write( "Question 962776: In going a certain distance, a train traveling at the rate of 45.0 mph takes 2.00 hours less than a train traveling 35.0 mph. Find the distance \n" ); document.write( "

Algebra.Com's Answer #588262 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+t+\"$ = time in hrs for the slower train
\n" ); document.write( "slower train:
\n" ); document.write( "(1) $\"+d+=+35t+\"$
\n" ); document.write( "faster train:
\n" ); document.write( "(2) $\"+d+=+45%2A%28+t+-+2+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Set (1) and (2) equal to each other:
\n" ); document.write( " $\"+35t+=+45%2A%28+t+-+2+%29+\"$
\n" ); document.write( " $\"+35t+=+45t+-+90+\"$
\n" ); document.write( " $\"+10t+=+90+\"$
\n" ); document.write( " $\"+t+=+9+\"$
\n" ); document.write( " $\"+t+-+2+=+7+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(1) $\"+d+=+35t+\"$
\n" ); document.write( "(1) $\"+d+=+35%2A9+\"$
\n" ); document.write( "(1) $\"+d+=+315+\"$
\n" ); document.write( "the distance is 315 mi
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+45%2A%28+t+-+2+%29+\"$
\n" ); document.write( "(2) $\"+d+=+45%2A7+\"$
\n" ); document.write( "(2) $\"+d+=+315+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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