document.write( "Question 266580: train a and b is travelling in the same direction on parallel tracks. Train A is travelling at 40 miles per hour and train B is travelling at 48 miles per hour. Train A is passes the station at 6:25 A.M. If train B passes the station at 6:55A.M. at what time will train b catch up to train a. \n" ); document.write( "
Algebra.Com's Answer #195880 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! train a and b is traveling in the same direction on parallel tracks. \n" ); document.write( " Train A is traveling at 40 miles per hour and train B is traveling at 48 miles per hour. \n" ); document.write( "Train A is passes the station at 6:25 A.M. If train B passes the station at 6:55A.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 (.5 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: .5 * 48 = 24 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( "48t = 40t + 24 \n" ); document.write( "48t - 40t = 24 \n" ); document.write( "8t = 24 \n" ); document.write( "t = \n" ); document.write( "t = 3 hrs \n" ); document.write( ": \n" ); document.write( "6:25 + 3 hrs = 9:25 am, B catches A \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distances (train B travels 24 mi more than train A) \n" ); document.write( "48 * 3 = 144 mi \n" ); document.write( "40 * 3 = 120 mi \n" ); document.write( "------------------- \n" ); document.write( "difference = 24 mi \n" ); document.write( " \n" ); document.write( " |