document.write( "Question 925052: Mandelbrot can landscape a yard in two 8-hour workdays. He can do the same job in 10 hours if he works\r
\n" ); document.write( "\n" ); document.write( "with Descartes. If Descartes works alone, how many hours will it take him to landscape the yard? \n" ); document.write( "
Algebra.Com's Answer #561282 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
in terms of hours
\n" ); document.write( "rate for A alone 16
\n" ); document.write( "rate for A & B together 10
\n" ); document.write( "1/a+1/b=1/x
\n" ); document.write( "1/16+1/b=1/10
\n" ); document.write( "1/b=1/10-1/16
\n" ); document.write( "1/b=16/160-10/160
\n" ); document.write( "1/b=6/160
\n" ); document.write( "1/b=1/26.6666667
\n" ); document.write( "b=26.6666667
\n" ); document.write( "rate for B alone 26.6666667
\n" ); document.write( "check
\n" ); document.write( "1/16+1/26.6666667=1/10
\n" ); document.write( "26.6666667/426.666667+16/426.666667=1/10
\n" ); document.write( "42.6666667/426.666667=1/10
\n" ); document.write( "ok
\n" ); document.write( "codewa\r
\n" ); document.write( "\n" ); document.write( "in terms of 8 hour days
\n" ); document.write( "rate for A alone 2
\n" ); document.write( "rate for A & B together 1.25
\n" ); document.write( "1/a+1/b=1/x
\n" ); document.write( "1/2+1/b=1/1.25
\n" ); document.write( "1/b=1/1.25-1/2
\n" ); document.write( "1/b=2/2.5-1.25/2.5
\n" ); document.write( "1/b=0.75/2.5
\n" ); document.write( "1/b=1/3.33333333
\n" ); document.write( "b=3.33333333
\n" ); document.write( "rate for B alone 3.33333333 8 hour days
\n" ); document.write( "check
\n" ); document.write( "1/2+1/3.33333333=1/1.25
\n" ); document.write( "3.33333333/6.66666667+2/6.66666667=1/1.25
\n" ); document.write( "5.33333333/6.66666667=1/1.25
\n" ); document.write( "ok
\n" ); document.write( "codewa\r
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