document.write( "Question 462486: two trains travel toward each other from city a and city b, which are 400 miles apart, and they are traveling at the rates of 110 mph and 90 mph. they started at the same time and reach city c at the same time.
\n" ); document.write( "a)in how many hours the trains will reach to city c between city a and city b?
\n" ); document.write( "b) what distance did the faster train travel to reach to city c? \n" ); document.write( "

Algebra.Com's Answer #317058 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d%5B1%5D+\"$ = distance faster train travels
\n" ); document.write( "Let $\"+d%5B2%5D+\"$ = distance slower train travels
\n" ); document.write( "given:
\n" ); document.write( " $\"+d%5B1%5D+%2B+d%5B2%5D+=+400+\"$
\n" ); document.write( "faster train:
\n" ); document.write( "(1) $\"+d%5B1%5D+=+110t+\"$
\n" ); document.write( "slower train:
\n" ); document.write( "(2) $\"+d%5B2%5D+=+90t+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(a)
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( " $\"+d%5B1%5D+%2B+d%5B2%5D+=+110t+%2B+90t+\"$
\n" ); document.write( " $\"+400+=+200t+\"$
\n" ); document.write( " $\"+t+=+2+\"$ hrs
\n" ); document.write( "They will reach city c in 2 hours
\n" ); document.write( "(b)
\n" ); document.write( "(1) $\"+d%5B1%5D+=+110t+\"$
\n" ); document.write( "(1) $\"+d%5B1%5D+=+110%2A2+\"$
\n" ); document.write( "(1) $\"+d%5B1%5D+=+220+\"$ mi
\n" ); document.write( "The faster train will travel 220 mi
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d%5B2%5D+=+90t+\"$
\n" ); document.write( "(2) $\"+d%5B2%5D+=+90%2A2+\"$
\n" ); document.write( "(2) $\"+d%5B2%5D+=+180+\"$ mi
\n" ); document.write( " $\"+220+%2B+180+=+400+\"$ mi
\n" ); document.write( "OK \n" ); document.write( "

\n" );