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)![]() ![]() ![]() You can put this solution on YOUR website! 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( "*** \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( " \n" ); document.write( "LCD:9x(x+7) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " |