document.write( "Question 264696: 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 passes a station at 6:25 a.m. If train B passes the same station at 6:55 a.m. at what time will train B catch up to train A? UGH! I can not even set up an equation for this one! Will someone PLEASE HELP?!! \n" ); document.write( "
Algebra.Com's Answer #194860 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 60 mph and train B is traveling at 70 mph. Train A passes a station at 6:25 a.m. If train B passes the same station at 6:55 a.m. at what time will train B catch up to train A? \n" ); document.write( ":\r \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 + 35 mi \n" ); document.write( "70t = 60t + 35 \n" ); document.write( "70t - 60t = 35 \n" ); document.write( "10t = 35 \n" ); document.write( "t = \n" ); document.write( "t = 3.5 hr or 3 hrs 30 min \n" ); document.write( ": \n" ); document.write( "Find the time: \n" ); document.write( "6:25 + 3:30 = 09:55 am, B catches A \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by finding the distance each train traveled in 3.5 hr. \n" ); document.write( "3.5*60 = 210 mi \n" ); document.write( "3.5*70 = 245 mi, 35 mi further \n" ); document.write( " |