document.write( "Question 464388: Dal and Kim can assemble a swing set in 1 1/2 hr. Working alone, it takes Kim 4 hr longer than Dal to assemble the swing set. How long would it take Dal, working alone, to assemble the swing set?
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Algebra.Com's Answer #318123 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Dal and Kim can assemble a swing set in 1 1/2 hr. Working alone, it takes Kim 4 hr longer than Dal to assemble the swing set. How long would it take Dal, working alone, to assemble the swing set? \n" ); document.write( ". \n" ); document.write( "Let d = time it takes for Dal alone \n" ); document.write( "then \n" ); document.write( "d+4 = time it takes for Kim \n" ); document.write( ". \n" ); document.write( "1.5(1/d + 1/(d+4)) = 1 \n" ); document.write( "multiplying both sides by d(d+4): \n" ); document.write( "1.5(d+4 + d) = d(d+4) \n" ); document.write( "1.5(2d+4) = d^2+4d \n" ); document.write( "3d+6 = d^2+4d \n" ); document.write( "6 = d^2+d \n" ); document.write( "0 = d^2+d-6 \n" ); document.write( "0 = (d+3)(d-2) \n" ); document.write( "d = {-3, 2} \n" ); document.write( "toss out the negative solution leaving: \n" ); document.write( "d = 2 hours (Dal's time working alone)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |