document.write( "Question 203068: Please help me solve this word problem.
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document.write( "Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mils per hour and train B is traveling at 70 mils per hour. Train A passes a station at 5:15 A. M. if train B passes station at 5:27 A.M, what time train b catch up train A?
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document.write( "Thank you!
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Algebra.Com's Answer #153234 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 60 mils per hour and train B is traveling at 70 mils per hour. \n" ); document.write( "Train A passes a station at 5:15 A. M. if train B passes station at 5:27 A.M, \n" ); document.write( " what time train b catch up train A? \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "from the given information, we know that train B is 12 min (.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: .2 * 70 = 14 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 A travel dist = Train b travel dist + 14 mi \n" ); document.write( "70t = 60t + 14 \n" ); document.write( "70t - 60t = 14 \n" ); document.write( "10t = 14 \n" ); document.write( "t = \n" ); document.write( "t = 1.4 hr or 1 hr 24 min \n" ); document.write( ": \n" ); document.write( "5:15 + 1:24 = 6:39 AM, B catches A \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the dist traveled by each train \n" ); document.write( "70*1.4 = 98 mi \n" ); document.write( "60*1.4 = 84 mi \n" ); document.write( "---------------- \n" ); document.write( "differ = 14 mi \n" ); document.write( " |