document.write( "Question 624496: The speed of a freight train is 14 km/hr slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of the freight train. \n" ); document.write( "

Algebra.Com's Answer #392791 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+t+\"$ = the time for both trains
\n" ); document.write( "Let $\"+s+\"$ = the speed of the passenger train in km/hr
\n" ); document.write( " $\"+s+-+14+\"$ = the speed of the freight train in km/hr
\n" ); document.write( "---------
\n" ); document.write( "Equation for passenger train:
\n" ); document.write( "(1) $\"+400+=+s%2At+\"$
\n" ); document.write( "Equation for freight train:
\n" ); document.write( "(2) $\"+330+=+%28+s+-+14+%29%2At+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+330+=+s%2At+-+14t+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+330+=+400+-+14t+\"$
\n" ); document.write( "(2) $\"+14t+=+400+-+330+\"$
\n" ); document.write( "(2) $\"+14t+=+70+\"$
\n" ); document.write( "(2) $\"+t+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+400+=+s%2A5+\"$
\n" ); document.write( "(1) $\"+s+=+400%2F5+\"$
\n" ); document.write( "(1) $\"+s+=+80+\"$
\n" ); document.write( " $\"+s+-+14+=+66+\"$
\n" ); document.write( "The speed of the freight train is 66 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+330+=+%28+80+-+14+%29%2A5+\"$
\n" ); document.write( "(2) $\"+330+=+66%2A5+\"$
\n" ); document.write( "(2) $\"+330+=+330+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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