document.write( "Question 888403: together it takes ann and cindy 2 hr and 24 min to sort recyclable materials. alone ann would require 2 more hours than cindy. how long will it take cindy to do the job alone? \n" ); document.write( "
Algebra.Com's Answer #537379 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! together it takes ann and cindy 2 hr and 24 min to sort recyclable materials. alone ann would require 2 more hours than cindy. how long will it take cindy to do the job alone? \n" ); document.write( "*** \n" ); document.write( "2 hr and 24 min =2.4 hrs \n" ); document.write( "Ann and cindy working together can finish the job in 2.4 hrs \n" ); document.write( "1/2.4=their work rate \n" ); document.write( "let x=hrs cindy can finish the job working alone \n" ); document.write( "1/x=her work rate \n" ); document.write( "x+2=hrs ann can finish the job working alone \n" ); document.write( "1/(x+2)=her work rate \n" ); document.write( ".. \n" ); document.write( "sum of indv. work rates=work rate working together \n" ); document.write( " \n" ); document.write( "lcd: x(x+2)*2.4 \n" ); document.write( "2.4(x+2)+2.4=x(x+2) \n" ); document.write( "2.4x+4.8+2.4=x^2+2x \n" ); document.write( "x^2-0.4x-7.2=0 \n" ); document.write( "10x^2-4x-72=0 \n" ); document.write( "solve for x by quadratic formula: \n" ); document.write( " \n" ); document.write( "a=10, b=-4, c=-10 \n" ); document.write( "ans: \n" ); document.write( "x≈2.89 hrs \n" ); document.write( "how long will it take cindy to do the job alone? 2.89 hrs \n" ); document.write( " |