document.write( "Question 756571: Please help me solve this word equation using two equations and two variables. \r
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document.write( "Al travels 600km in 11h, partly by car at 60km/hr and the rest by train at 50km/hr. How long did he travel by each mode? \n" );
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Algebra.Com's Answer #460295 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Al travels 600km in 11h, partly by car at 60km/hr and the rest by \n" ); document.write( " train at 50km/hr. \n" ); document.write( " How long did he travel by each mode? \n" ); document.write( ": \n" ); document.write( "Let t = time traveled by train \n" ); document.write( "the total time is 11 hrs, therefore: \n" ); document.write( "(11-t) = time traveled by car \n" ); document.write( ": \n" ); document.write( "Write a dist equation; dist = speed * time \n" ); document.write( ": \n" ); document.write( "train dist + car dist = 600 \n" ); document.write( "50t + 60(11-t) = 600 \n" ); document.write( "50t + 660 - 60t = 600 \n" ); document.write( "50t - 60t = 600 - 660 \n" ); document.write( "-10t = -60 \n" ); document.write( "t = -60/-10 \n" ); document.write( "t = 6 hrs by train \n" ); document.write( "then \n" ); document.write( "11-6 = 5 hrs by car \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "check \n" ); document.write( "6*50 = 300 km \n" ); document.write( "5*60 = 300 km \n" ); document.write( "----------------- \n" ); document.write( "total: 600 km \n" ); document.write( " |