document.write( "Question 25656: Nancy takes an hour and a half to rake the lawn. But it takes her only 40 minutes if her sister rakes too. How long does it take the sister to rake the lawn alone?
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document.write( "Answer: l hour and 12 minutes. BUT HOW DO I GET THAT!! Been trying for 3 days!
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document.write( "THANKS \n" );
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Algebra.Com's Answer #13763 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Work done = (rate)(time) \n" ); document.write( "Nancy rate is 1/(3/2)=(2/3)job/hr. \n" ); document.write( "Let Sister's time to do the job be \"x\"; then her rate is 1/x. \n" ); document.write( "Note that 40min.= 2/3 hr. \n" ); document.write( "EQUATION: \n" ); document.write( "Working together their rate is (2/3+1/x)job/hr. \n" ); document.write( "Amount of time to do job together is 2/3 hr. \n" ); document.write( "(2/3 + 1/x)(2/3) = 1 \n" ); document.write( "(2/3 + 1/x)= 3/2 \n" ); document.write( "(2x+3)/3x =3/2 \n" ); document.write( "4x+6=9x \n" ); document.write( " 5x=6 \n" ); document.write( " x=1 1/5 = 1hr + (1/5)hr. = 1 hr. + 12 min.\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |