document.write( "Question 1103450: Two companies working together can clear a parcel of land in 27 hours . Working alone it would take company A 2 hours longer to clear the land than it would Company B to clear the parcel of land alone? \n" ); document.write( "
Algebra.Com's Answer #718166 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! 1/x+1/(x+2)=1/27 \n" ); document.write( "(27*x*(x+2))/x+(27*x*(x+2))/(x+2)=(27*x*(x+2))/27 \n" ); document.write( "(27*(x+2))+27*x=x*(x+2) \n" ); document.write( "27*x+54+27*x=x^2+2*x \n" ); document.write( "54*x+54=x^2+2*x \n" ); document.write( "x^2-52*x-54=0 \n" ); document.write( "Can it be factored? \n" ); document.write( "What factors of -54 add up to -52? \n" ); document.write( "Nevertheless, we will complete the square. \n" ); document.write( "x^2-52*x=54 \n" ); document.write( "Add it. \n" ); document.write( "x^2-52*x+(-52/2)=54+(-52/2) \n" ); document.write( "Square it. \n" ); document.write( "x^2-52*x+(2704/4)=54+(2704/4) \n" ); document.write( "x^2-52*x+(676)=54+(676) \n" ); document.write( "x^2-52*x+(676)=730 \n" ); document.write( "(x-26)^2=730 \n" ); document.write( "(x-26)^2=730 \n" ); document.write( "We will continue. \n" ); document.write( "x+-26=(+-)27.0185122 \n" ); document.write( "x=26(+-)27.0185122 \n" ); document.write( "Positive useful answer: \n" ); document.write( "x=26+27.0185122 \n" ); document.write( "Company B x=53.0185122 \n" ); document.write( "x+2=2+53.0185122 \n" ); document.write( "x+2=55.0185122 \n" ); document.write( "Company A =55.0185122 \n" ); document.write( "check \n" ); document.write( "1/x+1/(x+2)=1/27 \n" ); document.write( "1/53.0185122+1/(53.0185122+2)=1/27 \n" ); document.write( "1/53.0185122+1/55.0185122=1/27 \n" ); document.write( "55.0185122/2916.99966+53.0185122/2916.99966=1/27 \n" ); document.write( "108.037024/2916.99966=1/27 \n" ); document.write( "0.37037037e-1=0.37037037e-1 \n" ); document.write( "ok\r \n" ); document.write( "\n" ); document.write( "Useless answer: \n" ); document.write( "x=26-27.0185122 \n" ); document.write( "Useless answer is x=-1.01851217 \n" ); document.write( " x =-1.01851217 \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 \n" ); document.write( "codewtp \n" ); document.write( " \n" ); document.write( " |