document.write( "Question 1112768: 2 landscape workers can complete a certain job in a total of 20 hours. Working alone, one can do this same job in 2 hours less time than it takes the other worker. How long would it take the faster worker to do the job if the slower worker is unable to work? \n" ); document.write( "

Algebra.Com's Answer #727783 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2Fx%2B1%2F%28x-2%29=1%2F20\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"20%28x-2%29%2B20x=x%28x-2%29\"$
\n" ); document.write( " $\"20x-40%2B20x=x%5E2-2x\"$
\n" ); document.write( " $\"40x-40=x%5E2-2x\"$
\n" ); document.write( " $\"x%5E2-42x%2B40=0\"$
\n" ); document.write( "-
\n" ); document.write( " $\"x=%2842%2B-+sqrt%2842%5E2-4%2A40%29%29%2F2\"$
\n" ); document.write( " $\"x=%2842%2B-+sqrt%281604%29%29%2F2\"$
\n" ); document.write( " $\"x=%2842%2B-+2%2Asqrt%28401%29%29%2F2\"$
\n" ); document.write( " $\"x=21%2B-+sqrt%28401%29\"$
\n" ); document.write( " $\"nearst\"$ $\"whole\"$ $\"hour\"$ , $\"x=41\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Faster worker: 39 hours
\n" ); document.write( "Slower worker: 41 hours\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( " $\"1%2F41%2B1%2F39\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0.02439%2B0.02564\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0.05003=1%2F20\"$ $\"approx\"$ \n" ); document.write( "

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