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)\"\" \"About 
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 \"+t+\" = the time that the brick layer works
\n" ); document.write( "\"+t+%2B+5+\" = the timer the apprentice works
\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( "\"+%28+1%2F6+%29%2At+%2B+%28+1%2F16+%29%2A%28+t+%2B+5+%29+=+1+\"
\n" ); document.write( "Multiply both sides by \"+48+\"
\n" ); document.write( "\"+8t+%2B+3t+%2B+15+=+48+\"
\n" ); document.write( "\"+11t+=+33+\"
\n" ); document.write( "\"+t+=+3+\"
\n" ); document.write( "\"+t+%2B+5+=+8+\"
\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( "\"+%28+1%2F6+%29%2At+%2B+%28+1%2F16+%29%2A%28+t+%2B+5+%29+=+1+\"
\n" ); document.write( "\"+%28+1%2F6+%29%2A3+%2B+%28+1%2F16+%29%2A%28+3+%2B+5+%29+=+1+\"
\n" ); document.write( "\"+1%2F2+%2B+1%2F2+=+1+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );