document.write( "Question 1153780: A contractor hires two bulldozers to clear the trees from a 20 acre tract of land. One works twice as fast as the other. It takes them 3 days to clear the tract working together. How long would it take each of them alone? \n" ); document.write( "
Algebra.Com's Answer #776071 by josmiceli(19441)\"\" \"About 
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Call the clearing of 20 acres 1 job
\n" ); document.write( "Let \"+t+\" = time in days for the faster worker to
\n" ); document.write( "do the job working alone
\n" ); document.write( "\"+2t+\" = time in days for the slower worker to do
\n" ); document.write( "the job working alone
\n" ); document.write( "------------------------------------------
\n" ); document.write( "[ 1 job ] / [ 3 days ] = their rate of woking together
\n" ); document.write( "Add their rates working alone to get their rate working together
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F3+\"
\n" ); document.write( "Multiply both sides by \"+6t+\"
\n" ); document.write( "\"+6+%2B+3+=+2t+\"
\n" ); document.write( "\"+2t+=+9+\"
\n" ); document.write( "\"+t+=+4.5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2t+=+9+\"
\n" ); document.write( "--------------------
\n" ); document.write( "The faster worker takes 4.5 days working alone
\n" ); document.write( "The slower worker takes 9 days working alone
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F3+\"
\n" ); document.write( "\"+1%2F4.5+%2B+1%2F9+=+1%2F3+\"
\n" ); document.write( "Multiply both sides by \"+9+\"
\n" ); document.write( "\"+2+%2B+1+=+3+\"
\n" ); document.write( "OK \n" ); document.write( "
\n" );