document.write( "Question 517790: two trains leave stations 224 miles apart at the same time and travel toward each other. one train travels at 80 miles per hour while the other travels at 60 miles per hour. how long will it take for the two trains to meet? \n" ); document.write( "
Algebra.Com's Answer #344936 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Train A \n" ); document.write( "========= \n" ); document.write( "Speed = 80 mph \n" ); document.write( "Distance = x \n" ); document.write( "Time=t \n" ); document.write( "Time = Distance / speed \n" ); document.write( "Time = x/80\r \n" ); document.write( "\n" ); document.write( "Train B \n" ); document.write( "========= \n" ); document.write( "Speed = 60mph \n" ); document.write( "Distance = 224-x \n" ); document.write( "Time = t \n" ); document.write( "Time = Distance / speed \n" ); document.write( "Time = 224-x/60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Both train will travel for the same period of time so\r \n" ); document.write( "\n" ); document.write( "Time taken train A = Time taken train B \n" ); document.write( "(224-x)/60=x/80 \n" ); document.write( "80(224-x)=60x \n" ); document.write( "17920-80x=60x \n" ); document.write( "17920=60x+80x \n" ); document.write( "17920=140x \n" ); document.write( "x=17920/140 \n" ); document.write( "x=128\r \n" ); document.write( "\n" ); document.write( "Time taken by train A = x/80=128/80=1.6 hour \n" ); document.write( "Time taken by train B = 224-128/80=96/60=1.6 hour\r \n" ); document.write( "\n" ); document.write( "It will take 1.6 hour when they meet.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2nd Method \n" ); document.write( "=========== \n" ); document.write( "Effective Speed = 80+60=140 mph \n" ); document.write( "Distance = 224 miles\r \n" ); document.write( "\n" ); document.write( "Time = Distance/Speed \n" ); document.write( "Time = 224/140 \n" ); document.write( "Time = 1.6 hour \n" ); document.write( " |