document.write( "Question 401852: Trains a and b are traveling in the same direction on parallel tracks. Train a is traveling at 60mph and train b is traveling at 80 mph. Train a passes a station at 6:10am if train b passes the same station at 6:22 am at what time will train b catch up to train a? \n" ); document.write( "
Algebra.Com's Answer #284356 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "D=60T FOR THE FIRST TRAIN \n" ); document.write( "D=80(T-.2) FOR THE SECOND TRAIN THAT IS 12 MINUTES BEHIND. \n" ); document.write( "BECAUSE THE DISTANCES ARE THE SAME WE SET THESE 2 EQUATIONS EQUAL. \n" ); document.write( "60T=80(T-.2) \n" ); document.write( "60T=80T-16 \n" ); document.write( "60T-80T=-16 \n" ); document.write( "-20T=-16 \n" ); document.write( "T=-16/-20 \n" ); document.write( "T=.8 HOURS OR 48 MINUTES AFTER 6:10 THEY WILL MEET. \n" ); document.write( "6:10+:48=6:58 THEY WILL MEET. \n" ); document.write( "PROOF: \n" ); document.write( "60*.8=80(.8-.2) \n" ); document.write( "48=80*.6 \n" ); document.write( "48=48 \n" ); document.write( " \n" ); document.write( " |