document.write( "Question 747253: Two companies working together can clear a parcel of land in 13 hours. Working alone, it would take company A 10 hours longer to clear the land than it would Company B. How long would it take company B to clear the parcel of land alone?
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Algebra.Com's Answer #454787 by josmiceli(19441)\"\" \"About 
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Add their rates of working to get their rate working together
\n" ); document.write( "Let \"+t+\" = B's time in hours to clear the parcel of land
\n" ); document.write( "given:
\n" ); document.write( "B's rate:
\n" ); document.write( "( 1 parcel cleared ) / ( t hrs )
\n" ); document.write( "A's rate:
\n" ); document.write( "( 1 parcel cleared ) / ( t + 10 hrs )
\n" ); document.write( "Their rate working together:
\n" ); document.write( "( 1 parcel cleared / t hrs ) + ( 1 parcel cleared / t + 10 hrs ) = ( 1 parcel cleared / 13 hrs )
\n" ); document.write( "----------------------
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t+%2B+10+%29+=+1%2F13+\"
\n" ); document.write( "Multiply both sides by \"+t%2A%28+t%2B10+%29%2A13+\"
\n" ); document.write( "\"+13%2A%28+t+%2B+10+%29+%2B+13t+=+t%2A%28+t+%2B+10+%29+\"
\n" ); document.write( "\"+13t+%2B+130+%2B+13t+=+t%5E2+%2B+10t+\"
\n" ); document.write( "\"+t%5E2+-16t+-+130+=+0+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"+t%5E2+-+16t+=+130+\"
\n" ); document.write( "\"+t%5E2+-+16t+%2B+%28-16%2F2%29%5E2+=+130+%2B+%28-16%2F2%29%5E2+\"
\n" ); document.write( "\"+t%5E2+-16t+%2B+64+=+130+%2B+64+\"
\n" ); document.write( "\"+%28+t+-+8+%29%5E2+=+194+\"
\n" ); document.write( "Take square root of both sides
\n" ); document.write( "\"+t+-+8+=+13.928+\"
\n" ); document.write( "\"+t+=+21.928+\"
\n" ); document.write( "\"+.928%2A60+=+55.7+\"
\n" ); document.write( "Working alone, B takes 21 hrs 56 min
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t+%2B+10+%29+=+1%2F13+\"
\n" ); document.write( "\"+1%2F21.928+%2B+1%2F%28+21.928+%2B+10+%29+=+1%2F13+\"
\n" ); document.write( "\"+.0456+%2B+.0313+=+.0769+\"
\n" ); document.write( "\"+.0769+=+.0769+\"
\n" ); document.write( "OK\r
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