document.write( "Question 307543: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a station at 12:15 a.m. If Train B passes that same station at 12:30 a.m., at what time will Train B catch up to Train A? \n" ); document.write( "
Algebra.Com's Answer #220020 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "D=80T TRAIN A \n" ); document.write( "D=96(T-.25) TRAIN B \n" ); document.write( "THE DISTANCES ARE THE SAME THUS SET THE 2 EQUATIONS EQUAL & SOLVE FOR T. \n" ); document.write( "80T=96(T-.25) \n" ); document.write( "80T=96T-24 \n" ); document.write( "80T-96T=-24 \n" ); document.write( "-16T=-24 \n" ); document.write( "T=-24/-16 \n" ); document.write( "T=1.5 HOURS AFTER TRAIN LEAVES THEY WILL MEET. \n" ); document.write( "PROOF: \n" ); document.write( "80*1.5=96(1.5-.25) \n" ); document.write( "120=96*1.25 \n" ); document.write( "120=120 \n" ); document.write( " \n" ); document.write( " |