document.write( "Question 277135: 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. Train A passes a station at 3:15pm, If train B passes the same station at 3:45pm at what time will train B catch up to train A \n" ); document.write( "
Algebra.Com's Answer #202060 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. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour. Train A passes a station at 3:15pm, If train B passes the same station at 3:45pm 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 30 min (1/2 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: \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 + 25 mi \n" ); document.write( "50t = 40t + 25 \n" ); document.write( "50t - 40t = 25 \n" ); document.write( "10t = 25 \n" ); document.write( "t = \n" ); document.write( "t = 2.5 hr or 2 hr 30 min \n" ); document.write( ": \n" ); document.write( "3:15 + 1:30 = 4:45 pm, B catches A \n" ); document.write( " |