document.write( "Question 123968: john takes 3hours longer than andrew to peel 400 pounds of apples. if together they can peel 400pounds of apples in 8hours then how long would it take john if he is working alone. round answer to three decimal places \n" ); document.write( "

Algebra.Com's Answer #90920 by checkley71(8403) $\"\"$ $\"About$

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x(x+3)/[x+(x+3)]=8
\n" ); document.write( "(x^2+3x)/(2x+3)=8
\n" ); document.write( "x^2+3x=16x+24
\n" ); document.write( "x^2+3x-16x-24=0
\n" ); document.write( "x^2-13x-24=0
\n" ); document.write( "using the quadratic equation we get:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(13+-sqrt[-13^2-4*1*-24])/2*1
\n" ); document.write( "x=(13+-sqrt[169+96])/2
\n" ); document.write( "x=(13+-sqrt265)/2
\n" ); document.write( "x=(13+-16.279)/2
\n" ); document.write( "x=(13+16.279)/2
\n" ); document.write( "x=29.279/2
\n" ); document.write( "x=14.6395 hours for Andrew working alone to peel 400 pounds of apples.
\n" ); document.write( "proof:
\n" ); document.write( "14.6395*17.6395/(14.6395+17.6395)=8
\n" ); document.write( "258.233/32.279=8
\n" ); document.write( "8=8\r
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