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?
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document.write( " When will Train B catch up to Train A?
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document.write( "Time ??? PM or AM?
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document.write( "Thanks \n" );
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Algebra.Com's Answer #325082 by josmiceli(19441)![]() ![]() 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( " \n" ); document.write( " \n" ); document.write( "------------------- \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, \n" ); document.write( "until they meet. \n" ); document.write( "------------------- \n" ); document.write( "Let \n" ); document.write( "Then \n" ); document.write( "------------------- \n" ); document.write( "For B: \n" ); document.write( "(1) \n" ); document.write( "For A: \n" ); document.write( "(2) \n" ); document.write( "-------------------- \n" ); document.write( "Substitute (1) into (2) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "They will meet in \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 \n" ); document.write( "--------------- \n" ); document.write( "check answer: \n" ); document.write( "A's distance from station is \n" ); document.write( "A's time from station is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "B's distance from station is also \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "OK \n" ); document.write( " |