document.write( "Question 307359: trains A and B are traveling in in the same direction on parallel tracks. train A is traveling at 80 miles per hour and train B is traveling at 100 miles per hour. train A passes a station at 6:10 A.M. If train B passes the same station at 6:25 A.M., at what time will train B catch up to train A? \n" ); document.write( "
Algebra.Com's Answer #219878 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! trains A and B are traveling in in the same direction on parallel tracks. train A is traveling at 80 miles per hour and train B is traveling at 100 miles per hour. train A passes a station at 6:10 A.M. If train B passes the same station at 6:25 A.M., 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 15 min (1/4 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( "100t = 80t + 25 \n" ); document.write( "100t - 80t = 25 \n" ); document.write( "20t = 25 \n" ); document.write( "t = \n" ); document.write( "t = 1.25 or 1 hr 15 min \n" ); document.write( ": \n" ); document.write( "6:10 + 1:15 = 7:25 AM, B catches A \n" ); document.write( " |