document.write( "Question 602153: Trains A and B are traveling in the same direction on parallel
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document.write( "track. Train A is traveling at 80 miles per hour and train B is
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document.write( "traveling at 100 miles per hour. Train A passes a station at 3:20 am.
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document.write( "If train B passes the same station at 3:35 am ., at what time will
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document.write( "train B catch up to train A? \n" );
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Algebra.Com's Answer #380146 by mananth(16946)![]() ![]() You can put this solution on YOUR website! the distance traveled by both is same when one catches up with the other. \n" ); document.write( "Let them meet at distance x \n" ); document.write( "Train A speed= 80 mph , starts at 03:20 pm \n" ); document.write( "Train B speed= 100 mph starts at 03:35 pm \n" ); document.write( " \n" ); document.write( "Time difference between the starting of the two= 0.25 hours \n" ); document.write( " \n" ); document.write( "Time taken by Train A = X / 80 \n" ); document.write( "Time taken by Train B = X / 100 \n" ); document.write( " \n" ); document.write( "X / 80 - X / 100 = 0.25 \n" ); document.write( " \n" ); document.write( "LCD - 400 \n" ); document.write( "Multiply equation by 400 \n" ); document.write( "400 / 80 x- 400 / 100 x= 0.25 * 400 \n" ); document.write( "5 x - 4 x = 100 \n" ); document.write( "1 x = 100 \n" ); document.write( "/ 1 \n" ); document.write( "x= 100 miles \n" ); document.write( "Train A speed= 80 mph \n" ); document.write( "Distance = 100 miles \n" ); document.write( "Time taken = 100 / 80 \n" ); document.write( "Time taken = 1.25 hour \n" ); document.write( " \n" ); document.write( "They will be together at 04:35 pm \r \n" ); document.write( "\n" ); document.write( "Train B catches up at 4:35 pm \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |