document.write( "Question 420633: Trains A and B are traveling 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 9:20 am. If Train B passes the same station at 9:32 am, at what time will Train B catch up to Train A? \n" ); document.write( "
Algebra.Com's Answer #293878 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 80 miles per hour and Train B is traveling at 100 miles per hour. \n" ); document.write( " Train A passes a station at 9:20 am. \n" ); document.write( "If Train B passes the same station at 9:32 am, 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 (1/5 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: \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 + 20 mi \n" ); document.write( "100t = 80t + 20 \n" ); document.write( "100t - 80t = 20 \n" ); document.write( "20t = 20 \n" ); document.write( "t = \n" ); document.write( "t = 1 hr for B to catch A \n" ); document.write( ": \n" ); document.write( "9:20 AM + 1.00 = 10:20 AM, B catches A \n" ); document.write( " |