document.write( "Question 1126374: Bill and Will are brothers who are both taking graduate level art classes. To help pay off their student loans, they decide to sell watercolor replicas of Andy Warhol's art. To produce one piece of work, Bill takes 0.25 hours less than Will. Working together, it takes them 4 hours. Find the time it would take each of them if they worked individually. Round your answers to 2 decimal places. \n" ); document.write( "

Algebra.Com's Answer #742927 by josgarithmetic(39617) $\"\"$ $\"About$

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document.write( "           Rate in piece per hour\r\n" );
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document.write( "Bill      \r\n" );
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document.write( "Will      \r\n" );
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document.write( "Together  \r\n" );
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\r
\n" ); document.write( "\n" ); document.write( "Together rate is the sum of their individual rates.\r
\n" ); document.write( "\n" ); document.write( " $\"1%2F%28t-1%2F4%29%2B1%2Ft=1%2F4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"4t%28t-1%2F4%29%281%2F%28t-1%2F4%29%2B1%2Ft%29=4t%28t-1%2F4%29%281%2F4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"4t%2B4%28t-1%2F4%29=t%28t-1%2F4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"8t-1=t%5E2-t%2F4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"32t-4=4t%5E2-t\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"highlight_green%284t%5E2-33t%2B4=0%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Using general solution for quadratic equation,
\n" ); document.write( " $\"t=%2833%2B-+sqrt%281025%29%29%2F8\"$ \r
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\n" ); document.write( "\n" ); document.write( "The PLUS-form is necessary.\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight%28t=%2833%2Bsqrt%281025%29%29%2F8%29\"$ ------the time for Will alone.
\n" ); document.write( "Use this to find the time for Bill alone. \n" ); document.write( "

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