document.write( "Question 739940: Two companies working together can clear a parcel of land in 9 hours. Working alone it would take Company A 7 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? \n" ); document.write( "
Algebra.Com's Answer #451414 by lwsshak3(11628)\"\" \"About 
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Two companies working together can clear a parcel of land in 9 hours. Working alone it would take Company A 7 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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\n" ); document.write( "x=amt of time company B can clear the land alone
\n" ); document.write( "1/x= Its work rate
\n" ); document.write( "x+7=amt of time company A can clear the land alone
\n" ); document.write( "1/(x+7)=Its work rate
\n" ); document.write( "9 hrs=amt of time they can clear the land working together
\n" ); document.write( "1/9=their work rate
\n" ); document.write( "..
\n" ); document.write( "sum of individual work rates=work rate working together
\n" ); document.write( "\"1%2Fx%2B1%2F%28x%2B7%29=1%2F9\"
\n" ); document.write( "LCD:9x(x+7)
\n" ); document.write( "\"9%28x%2B7%29%2B9x=x%28x%2B7%29\"
\n" ); document.write( "\"9x%2B63%2B9x=x%5E2%2B7x\"
\n" ); document.write( "\"x%5E2-11x-63=0\"
\n" ); document.write( "solve for x using quadratic formula
\n" ); document.write( "x≈-4.16 (reject, x>0)
\n" ); document.write( "or
\n" ); document.write( "x≈15.16
\n" ); document.write( "amt of time company B can clear the land alone≈15.16 hrs
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