document.write( "Question 145994: Train A and B are traveking the same directon on parrallel tracks.Train A is traveling 80mph and Train B is traveling 90 mph. Train A passes a station at 4:20 and Train B passes the same stattion at 4:32. How long will it take for train B to catch up with train A? What time will it be? \n" ); document.write( "
Algebra.Com's Answer #106553 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Train A and B are traveking the same directon on parrallel tracks.Train A is traveling 80mph and Train B is traveling 90 mph. Train A passes a station at 4:20 and Train B passes the same stattion at 4:32. How long will it take for train B to catch up with train A? What time will it be? \n" ); document.write( ". \n" ); document.write( "Essentially, Train A (the slower train) has a 12 minute head start. 12/60 is .2 hours head start. \n" ); document.write( ". \n" ); document.write( "Let x = hours it takes for train B to catch up \n" ); document.write( "then \n" ); document.write( "(x+.2) = time Train A traveled \n" ); document.write( ". \n" ); document.write( "For Train B to catch up with Train A, the distance traveled since the station MUST be the same: d=rt (distance=rate*time) \n" ); document.write( "80(x+.2) = 90x \n" ); document.write( "80x + 16 = 90x \n" ); document.write( "16 = 10x \n" ); document.write( "1.6 hrs = x (answer to first question) \n" ); document.write( ". \n" ); document.write( "4:20 + 1.6 hrs \n" ); document.write( ".6 hrs is .6*60= 36min \n" ); document.write( "therefore, 4:20 + 1:36 = 5:56 \n" ); document.write( " |