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)\"\" \"About 
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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?
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\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( "\"1%2Fx%2B1%2F%28x%2B2%29=1%2F2.4\"
\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( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\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
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