document.write( "Question 207379: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and train B is traveling at 70 mph. Train A passesa station at 12:20 P.M. If train B passes the same station at 12:32 P.M., at what time will train B catch up to train A?\" \n" ); document.write( "
Algebra.Com's Answer #156806 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Trains A and B are traveling in the same direction on parallel tracks. \n" ); document.write( " Train A is traveling at 60 mph and train B is traveling at 70 mph. \n" ); document.write( " Train A passes a station at 12:20 P.M. \n" ); document.write( " If train B passes the same station at 12:32 P.M. \n" ); document.write( ", at what time will train B catch up to train A?\" \n" ); document.write( ": \n" ); document.write( "from the given information, we know that train B is 12 min (.2 hr) behind \n" ); document.write( " train A, when train A passes the station \n" ); document.write( ": \n" ); document.write( "The distance between the trains at this time: .2 * 70 = 14 mi \n" ); document.write( ": \n" ); document.write( "Let t = time required for train B to catch train a \n" ); document.write( ": \n" ); document.write( "write a distance equation: Dist = speed * time \n" ); document.write( ": \n" ); document.write( "Train B travel dist = Train A travel dist + 24 mi \n" ); document.write( "70t = 60t + 14 \n" ); document.write( "70t - 60t = 14 \n" ); document.write( "10t = 14 \n" ); document.write( "t = \n" ); document.write( "t = 1.4 hr or 1 hr 24 min (.4*60=24) \n" ); document.write( ": \n" ); document.write( "12:20 + 1:24 = 1:44 pm, B catches A \n" ); document.write( " |