document.write( "Question 146766: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour.
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document.write( "Train A passes a station at 2:20 pm. If Train B passes the same station at 2:32 pm, at what time will Train B catch up to train A? \n" );
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Algebra.Com's Answer #107176 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour. \n" ); document.write( "Train A passes a station at 2:20 pm. If Train B passes the same station at 2:32 pm, at what time will Train B catch up to train A? \n" ); document.write( "-------------- \n" ); document.write( "Train A DATA: \n" ); document.write( "Rate = 40 mph ; time = x hrs ; distance = 40x miles \n" ); document.write( "---------- \n" ); document.write( "Train B DATA: \n" ); document.write( "Rate = 50 mph ; time = x-(1/5) hrs ; distance = 50[x-(1/5)] \n" ); document.write( "-------------- \n" ); document.write( "EQUATION: \n" ); document.write( "distance A = distance B \n" ); document.write( "40x = 50x - 10 \n" ); document.write( "-10x = -10 \n" ); document.write( "2x = 5/3 \n" ); document.write( "x = 1 hr. \n" ); document.write( "------------ \n" ); document.write( "Distance will be the same at 2:20 + 1 hr = 3:20 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |