document.write( "Question 1192759: Tom can paint a fence in 5 hours and Huck can paint the same fence in 6 hours. Tom starts painting the fence at 10 AM. He paints for an hour before Huck joins him at 11 AM. Then they work together to finish painting the fence. At what time will they finish painting the fence? \n" ); document.write( "

Algebra.Com's Answer #824656 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "PERSON        RATE                TIME QUANTITY\r\n" );
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document.write( "Tom                              1\r\n" );
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document.write( "Huck                         \r\n" );
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document.write( "combined                    x\r\n" );
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\n" ); document.write( "The amount of work was 1 fence.\r
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\n" ); document.write( "\n" ); document.write( " $\"cross%28%281%2F5%29%2A1%2B%281%2F5%2B1%2F6%29%28x%2B1%29=1%29\"$
\n" ); document.write( " $\"%281%2F5%29%2A1%2B%281%2F5%2B1%2F6%29%2Ax=1\"$ \r
\n" ); document.write( "\n" ); document.write( "LCD is 5*6=30, so multiplying both sides by 30 can clear the denominators.\r
\n" ); document.write( "\n" ); document.write( " $\"6%2B%286%2B5%29x=30\"$
\n" ); document.write( " $\"6%2B11x=30\"$
\n" ); document.write( " $\"11x=24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=24%2F11=2%262%2F11%29\"$
\n" ); document.write( "about 2 hours 11 minutes----------you can figure out \"what time\" from this value.
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