document.write( "Question 602068: Hello. I could really use some help on this word problem. If I could set up the equation I could solve it but I am having trouble. Please help.\r
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document.write( "Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 90 mph. Train A passes a station at 9:20 P.M. If train B passes the same station at 9:32 P.M., what time will train B catch up to train A? \n" );
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Algebra.Com's Answer #380101 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! A has a 12 min lead on B ___ 12 min is 1/5 hr (12/60)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A is traveling 80 mph, so 1/5 hr is 16 mi (80 * 1/5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B is catching A at 10 mph (90 - 80)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it will take B 1.6 hr to catch A (16 / 10) ___ this is from the time that B passes the station\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation-wise; the distances are equal when B catches up, and A has 1/5 hr head start\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "90t = 80(t + 1/5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the question asks what time, so t must be added to 9:32 PM \n" ); document.write( " |