document.write( "Question 209651: I have no idea how to solve this. I am probably making it harder then it is. Can someone please help me?\r
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document.write( "Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 miles per hour and train B is traveling at 125 miles per hour. Train A passes a station at 12.25 P.M. If train B passes the same station at 12:37, at what time will train B catch up to train A? ______?
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Algebra.Com's Answer #158505 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 100 miles per hour and train B is traveling at 125 miles per hour. \n" ); document.write( "Train A passes a station at 12.25 P.M. If train B passes the same station at 12:37, \n" ); document.write( "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 (.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 * 125 = 25 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 + 25 mi \n" ); document.write( "125t = 100t + 25 \n" ); document.write( "125t - 100t = 25 \n" ); document.write( "t = \n" ); document.write( "t = 1 hr \n" ); document.write( ": \n" ); document.write( "12:25 + 1 = 1:25 pm, B catches A \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distances (train B travels 25 mi more than train A) \n" ); document.write( "125 * 1 = 125 mi \n" ); document.write( "100 * 1 = 100 mi \n" ); document.write( "------------------- \n" ); document.write( "difference = 25 mi \n" ); document.write( " \n" ); document.write( " |