document.write( "Question 513871: Train X is 6 mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 260miles. Find the speed of each train. \n" ); document.write( "

Algebra.Com's Answer #343198 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = the speed of train B
\n" ); document.write( "Then $\"+b+-+6+\"$ = the speed of train A
\n" ); document.write( "Let $\"+t+\"$ = time for both trains
\n" ); document.write( "Train A:
\n" ); document.write( "(1) $\"+230+=+%28+b+-+6+%29%2At+\"$
\n" ); document.write( "Train B:
\n" ); document.write( "(2) $\"+260+=+b%2At+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(1) $\"+230+=+b%2At+-+6t+\"$
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+230+=+260+-+6t+\"$
\n" ); document.write( "(1) $\"+6t+=+260+-+230+\"$
\n" ); document.write( "(1) $\"+6t+=+30+\"$
\n" ); document.write( "(1) $\"+t+=+5+\"$
\n" ); document.write( "-----------
\n" ); document.write( "From (2)
\n" ); document.write( "(2) $\"+b+=+260%2Ft+\"$
\n" ); document.write( "(2) $\"+b+=+260%2F5+\"$
\n" ); document.write( "(2) $\"+b+=+52+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+230+=+%28+b+-+6+%29%2At+\"$
\n" ); document.write( "(1) $\"+230+=+%28+b+-+6+%29%2A5+\"$
\n" ); document.write( "(1) $\"+b+-+6+=+46+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Train A travels 46 mi/hr
\n" ); document.write( "Train B travels 52 mi/hr \n" ); document.write( "

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