document.write( "Question 910264: John takes 3 hours longer than Andrew to peel 500kg of apples.If together they can peel 500kg of apples in 8 hours,then how long would it take each one working alone? \n" ); document.write( "
Algebra.Com's Answer #552364 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
1/x+1/(x+8)=1/3
\n" ); document.write( "(3*x*(x+8))/x+(3*x*(x+8))/(x+8)=(3*x*(x+8))/3
\n" ); document.write( "(3*(x+8))+3*x=x*(x+8)
\n" ); document.write( "3*x+24+3*x=x^2+8*x
\n" ); document.write( "6*x+24=x^2+8*x
\n" ); document.write( "x^2+2*x-24=0
\n" ); document.write( "Can it be factored?
\n" ); document.write( "What factors of -24 add up to 2?
\n" ); document.write( "Nevertheless, we will complete the square
\n" ); document.write( "x^2+2*x=24
\n" ); document.write( "Add it.
\n" ); document.write( "x^2+2*x+(2/2)=24+(2/2)
\n" ); document.write( "Square it.
\n" ); document.write( "x^2+2*x+(4/4)=24+(4/4)
\n" ); document.write( "x^2+2*x+(1)=24+(1)
\n" ); document.write( "x^2+2*x+(1)=25
\n" ); document.write( "(x+1)^2=25
\n" ); document.write( "(x+1)^2=25
\n" ); document.write( "We will continue.
\n" ); document.write( "x+1=(+-)5.0
\n" ); document.write( "x=-1(+-)5.0
\n" ); document.write( "Positive useful answer:
\n" ); document.write( "x=-1+5.0
\n" ); document.write( "One worker is x=4
\n" ); document.write( "x+8=8+4
\n" ); document.write( "x+8=12
\n" ); document.write( "Other worker =12
\n" ); document.write( "check
\n" ); document.write( "1/x+1/(x+8)=1/3
\n" ); document.write( "1/4+1/(4+8)=1/3
\n" ); document.write( "1/4+1/12=1/3
\n" ); document.write( "0.25+0.83333333e-1=0.33333333
\n" ); document.write( "0.33333333=0.33333333
\n" ); document.write( "ok\r
\n" ); document.write( "\n" ); document.write( "Useless answer:
\n" ); document.write( "x=-1-5.0
\n" ); document.write( "Useless answer is x=-6.0
\n" ); document.write( " x =-6.0
\n" ); document.write( " This answer is useless because it is Negative
\n" ); document.write( "For real life cases involving time, distance and other measurements, we reject the negative results\r
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