document.write( "Question 841655: A brick layer can build a wall in 6 hours, and his apprentice would need 16 hours to build the same wall. When they work together, the apprentice works 5 hours longer than the brick layer. How many hours does each work? \n" ); document.write( "
Algebra.Com's Answer #507108 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! The brick layer builds ( 1 wall ) / ( 6 hrs ) \n" ); document.write( "That's the same as ( 1/6 wall ) / ( 1 hour ) \n" ); document.write( "------------------------------------ \n" ); document.write( "The apprentice builds ( 1 wall ) / ( 16 hrs ) \n" ); document.write( "That's the same as ( 1/16 wall ) / ( 1 hour ) \n" ); document.write( "-------------------------------------- \n" ); document.write( "Let \n" ); document.write( " \n" ); document.write( "----------------------------------------- \n" ); document.write( "( brick layer's rate ) x ( brick layer's time ) + \n" ); document.write( "( apprentice's rate ) x ( apprentice's time ) = 1 \n" ); document.write( "( 1 is the whole job ) \n" ); document.write( "----------------------------------------- \n" ); document.write( " \n" ); document.write( "Multiply both sides by \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "the brick layer works 3 hrs \n" ); document.write( "The apprentice works 8 hrs \n" ); document.write( "---------------------------- \n" ); document.write( "check: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "OK\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |