document.write( "Question 249387: Trains A and B are traveling int he same direction on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 90 mph. Train A passes a station at 2:20 a.m. If train B passes the same station at 2:50 a.m., at what time will train B catch up to train A? \n" ); document.write( "
Algebra.Com's Answer #181669 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "FOR TRAIN A D=80T \n" ); document.write( "FOR TRAIN B D=90(T-.5) \n" ); document.write( "SET THE 2 DISTANCE EQUATION EQUAL & SOLVE FOR T. \n" ); document.write( "80T=90(T-.5) \n" ); document.write( "80T=90T-45 \n" ); document.write( "80T-90T=-45 \n" ); document.write( "-10T=-45 \n" ); document.write( "T=-45/-10 \n" ); document.write( "T=4.5 HOURS AFTER TRAIN A LEAVE THE STATION THEY WILL MEET. \n" ); document.write( "PROOF: \n" ); document.write( "80*4.5=90(4.5-.5) \n" ); document.write( "360=90*4 \n" ); document.write( "360=360 \n" ); document.write( " |