document.write( "Question 163033: trains A and B are traveling in the same direction on the parallel tracks. train A is traveling 80 miles per hour and train B is traveling at 90 miles per hour. Train A passed a station at 1:20am if train B passes the same station at 1:32am At what time till train B catch up with train A? \n" ); document.write( "
Algebra.Com's Answer #120186 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "When Train B passed the station At 1:32am, how far is Train A since it passed the station earlier at 1:20am? Let's see the distance of Train A:
\n" ); document.write( "Remember: \"Speed=distance%2Ftime\"-----> working eqn
\n" ); document.write( "We get via working eqn,
\n" ); document.write( "\"d%5BA%5D=S%5BA%5Dt%5BA%5D\"
\n" ); document.write( "What will be \"t%5BA%5D\"?
\n" ); document.write( "The difference when Train B and Train A passed the station:
\n" ); document.write( "Difference: 12mins---\"system%281%3A32%2C-1%3A20%29\"
\n" ); document.write( "So,
\n" ); document.write( "\"highlight%28d%5BA%5D=16miles%29\", Take note of this. This is how far Train A was when Train B passed the station by 1:32am.
\n" ); document.write( ".
\n" ); document.write( "In finding for \"time\", remember too \"d%5BA%5D=d%5BB%5D\" since they're travelling on both directions. Via working eqn,
\n" ); document.write( "\"d%5BA%5D=d%5BB%5D\"
\n" ); document.write( "\"S%5BA%5D%28t%29%2Bhighlight%2816%29=S%5BB%5D%28t%29\" . Take note highlighted, we need to add 16miles because Train A was already ahead that much, being ahead 12 minutes remember?
\n" ); document.write( "Continuing,
\n" ); document.write( "\"80t%2B16=90t\"
\n" ); document.write( "\"16=90t-80t\"
\n" ); document.write( "\"16=10t\" ---> \"cross%2816%291.6%2Fcross%2810%29=cross%2810%29t%2Fcross%2810%29\"
\n" ); document.write( "\"t=%281.6cross%28hrs%29%29%2860min%2F1cross%28hr%29%29=96mins\" = 1hr &36mins
\n" ); document.write( "Therefore,
\n" ); document.write( "\"highlight%283%3A08am%29\" ---\"system%281%3A32am%2C%2B1%3A36%29\"
\n" ); document.write( "This is the time when Train A & Train B will be on the same distance.
\n" ); document.write( "In doubt? Go back working eqn,
\n" ); document.write( "\"d%5BA%5D=80%2A1.6%2B16miles=144miles\"
\n" ); document.write( "\"d%5BB%5D=90%2A1.6=144miles\"
\n" ); document.write( "\"d%5BA%5D=d%5BB%5D\" right?
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
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