document.write( "Question 1073328: Two trains, one going from Boston to New York and the other going from New York to Boston, started their trips at exactly same time. Speed of the first train was 10 miles per hour less than twice the speed of the second train. How far from Boston station have they met in two hours, if the total distance between the cities along the rail road is 220 miles? \n" ); document.write( "
Algebra.Com's Answer #688156 by josmiceli(19441)\"\" \"About 
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The wording is awkward.
\n" ); document.write( "\" How far from Boston station have they met in two hours \"
\n" ); document.write( "It's ungrammatical, but it sounds like they meet in 2 hrs
\n" ); document.write( "If this is true, then:
\n" ); document.write( "-------------------------
\n" ); document.write( "Let \"+s+%7D%7D+=+the+speed+of+NY+-+BOS+train+in+mi%2Fhr%0D%0A%7B%7B%7B+2s+-+10+\" = the speed of the BOS - NY train in mi/hr
\n" ); document.write( "Let \"+d+\" = distance in miles from Boston station when they meet
\n" ); document.write( "\"+220+-+d+\" = distance from NY station when they meet
\n" ); document.write( "-------------------------------------------------------------
\n" ); document.write( "BOS - NY train:
\n" ); document.write( "(1) \"+d+=+%28+2s+-+10+%29%2A2+\"
\n" ); document.write( "NY - BOS train:
\n" ); document.write( "(2) \"+220+-+d+=+s%2A2+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+220+-+%28+2s+-+10+%29%2A2+=+2s+\"
\n" ); document.write( "(2) \"+220+-+4s+%2B+20+=+2s+\"
\n" ); document.write( "(2) \"+6s+=+240+\"
\n" ); document.write( "(2) \"+s+=+40+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2s+-+10+=+2%2A40+-+10+\"
\n" ); document.write( "\"+2s+-+10+=+70+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+d+=+%28+2s+-+10+%29%2A2+\"
\n" ); document.write( "(1) \"+d+=+70%2A2+\"
\n" ); document.write( "(1) \"+d+=+140+\"
\n" ); document.write( "The trains meet 140 mi from the Boston Station
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+220+-+d+=+s%2A2+\"
\n" ); document.write( "(2) \"+220+-+d+=+80+\"
\n" ); document.write( "and
\n" ); document.write( "\"+140+%2B+80+=+220+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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