document.write( "Question 908940: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked together on a job for 4 h, the experienced bricklayer quit. The apprentice required 12 more hours to finish the job. How long would it take the experienced bricklayer, working alone, to do the job? \n" ); document.write( "
Algebra.Com's Answer #551418 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+2R+\" = the experienced
\n" ); document.write( "bricklayer's rate of working
\n" ); document.write( "----------------------------
\n" ); document.write( "Let \"+R+\" = the apprentice
\n" ); document.write( "bricklayer's rate of working
\n" ); document.write( "---------------------------
\n" ); document.write( "I can say:
\n" ); document.write( "\"+4%2A%28+R+%2B+2R+%29+\" = fraction of the job
\n" ); document.write( "they completed working together
\n" ); document.write( "\"+1+-+4%2A%28+R+%2B+2R+%29+\" = fraction of the job
\n" ); document.write( "left to finish
\n" ); document.write( "---------------
\n" ); document.write( "Now I can say:
\n" ); document.write( "\"+R+=+%28+1+-+4%2A%28+R+%2B+2R+%29+%29+%2F+12+\"
\n" ); document.write( "\"+12R+=+1+-+12R+\"
\n" ); document.write( "\"+24R+=+1+\"
\n" ); document.write( "\"+R+=+1%2F24+\"
\n" ); document.write( "and
\n" ); document.write( " \"+2R+=+2%2F24+\"
\n" ); document.write( "\"+2R+=+1%2F12+\"
\n" ); document.write( "The experienced bricklayer would
\n" ); document.write( "take 12 hrs to do the job working alone
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "\"+4%2A%28+R+%2B+2R+%29+\" = fraction of the job
\n" ); document.write( "they completed working together
\n" ); document.write( "\"+4%2A%28+1%2F24+%2B+2%2F24+%29+=+4%2A%28+1%2F8+%29+\"
\n" ); document.write( "\"+4%2A%281%2F8%29+=+1%2F2+\"
\n" ); document.write( "There is \"+1%2F2+\" left
\n" ); document.write( "\"+R+=+%28+1+-+4%2A%28+R+%2B+2R+%29+%29+%2F+12+\"
\n" ); document.write( "\"+R+=+%281%2F2+%29+%2F+12+\"
\n" ); document.write( "\"+R+=+1%2F24+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );