document.write( "Question 162289: A train leaves a station and travels north at 80 km per hour. three hours later a second train leaves on parallel tack and travel in the same direction at 120 km per hour. how far from the station will they meet? \n" ); document.write( "
Algebra.Com's Answer #119615 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Remember: \"Speed=distance%2Ftime\", Working eqn
\n" ); document.write( "We 1st calculate the distance \"d%5B1%5D\" travelled of TR[1] after 3 hours:
\n" ); document.write( "Via working eqn,
\n" ); document.write( "\"S%5B1%5D=d%5B1%5D%2Ft%5B1%5D\"
\n" ); document.write( "\"d%5B1%5D=S%5B1%5Dt%5B1%5D=80%2A3=240km\"
\n" ); document.write( "After 3 hours, \"t%5B1%5D=t%5B2%5D\", via working eqn we get
\n" ); document.write( "\"t%5B1%5D=d%5B1%5D%2FS%5B1%5D\" ----------------> EQN 1
\n" ); document.write( "\"t%5B2%5D=d%5B2%5D%2FS%5B2%5D\" ---------------->EQN 2
\n" ); document.write( "\"EQN1=EQN2\"
\n" ); document.write( "\"d%5B1%5D%2FS%5B1%5D=d%5B2%5D%2FS%5B2%5D\"
\n" ); document.write( "\"240%2F80=d%5B2%5D%2F120\"
\n" ); document.write( "\"3=d%5B2%5D%2F120\"
\n" ); document.write( "\"highlight%28d%5B2%5D=360km%29\". Why highlighted? we'll see below:
\n" ); document.write( ".
\n" ); document.write( "how long it took \"TR%5B2%5D\" to travel 360km? Via EQN 2,
\n" ); document.write( "\"t%5B2%5D=360%2F120=3hours\"
\n" ); document.write( "In this span of ANOTHER 3 hours, how far \"TR%5B1%5D\" travelled? Via EQN 1,
\n" ); document.write( "\"t%5B1%5D=%28d%5B2%5D-d%5B1%5D%29%2FS%5B1%5D\"
\n" ); document.write( "\"t%5B1%5D=%28360-240%29%2F80=120%2F80=1.5hrs\"
\n" ); document.write( "So, total time travlled by \"TR%5B1%5D=3hrs%2B1.5hrs=4.5hrs\";
\n" ); document.write( "So Total Distance travlled by \"TR%5B1%5D\" in 4.5 hrs:
\n" ); document.write( "via working eqn,
\n" ); document.write( "\"d%5B1.1%5D=S%5B1%5Dt%5B1.1%5D=80%2A4.5\"
\n" ); document.write( "\"highlight%28d%5B1.1%5D=360km%29\". SEE highlighted, both are the same, and we'll meet at this distance.
\n" ); document.write( "Hope this helps.
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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