document.write( "Question 473924: Trains A and B are traveling in the same direction on parallel lines. Train A is traveling at 100 miles per hour and Train B is traveling 125 miles an hour. Than Train A passes a station at 10:25 AM. If Train B passes the same station at 10:37 AM. What time will B catch up with Train A? When will Train B catch up with Train A?
\n" ); document.write( " When will Train B catch up to Train A?
\n" ); document.write( "Time ??? PM or AM?
\n" ); document.write( "Thanks
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Algebra.Com's Answer #325082 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Train A has a head start of how many miles when
\n" ); document.write( "train B passes the station?
\n" ); document.write( "10:37 - 10:25 = 12 minutes
\n" ); document.write( "Train A's head start is:
\n" ); document.write( "\"+d%5B1%5D+=+100%2A%2812%2F60%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+20+\" mi
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\n" ); document.write( "Now start a stopwatch when B passes the station.
\n" ); document.write( "Both trains will travel for the same amount of time, \"t\"
\n" ); document.write( "until they meet.
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\n" ); document.write( "Let \"+d+\" = the distance that B has to go until they meet
\n" ); document.write( "Then \"+d+-+20+\" = the distance that A has to go until they meet
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\n" ); document.write( "For B:
\n" ); document.write( "(1) \"+d+=+125t+\"
\n" ); document.write( "For A:
\n" ); document.write( "(2) \"+d+-+20+=+100t+\"
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\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "\"+125t+-+20+=+100t+\"
\n" ); document.write( "\"+25t+=+20+\"
\n" ); document.write( "\"+t+=+20%2F25+\"
\n" ); document.write( "\"+t+=+4%2F5+\" hrs
\n" ); document.write( "They will meet in \"+4%2F5+\" hrs or \"+%284%2F5%29%2A60+=+48+\" minutes
\n" ); document.write( "after B leaves station
\n" ); document.write( "10:37 AM + 48 min = 11:25 AM is the time
\n" ); document.write( "B passes A
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\n" ); document.write( "check answer:
\n" ); document.write( "A's distance from station is \"d\"
\n" ); document.write( "A's time from station is \"+12%2F60+%2B+4%2F5+=+1+\" hr
\n" ); document.write( "\"+d+=+100%2A1+\"
\n" ); document.write( "\"+d+=+100+\" mi
\n" ); document.write( "B's distance from station is also \"d\"
\n" ); document.write( "\"+d+=+125%2A%284%2F5%29+\"
\n" ); document.write( "\"+d+=+100+\" mi
\n" ); document.write( "OK
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