document.write( "Question 1041342: Tom paints a fence in 4 hours.Huck paints the fence in 6 hours. How long does it take for them to paint the fence working together? \n" ); document.write( "

Algebra.Com's Answer #656318 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "Tom paints a fence in 4 hours.Huck paints the fence in 6 hours. How long does it take for them to paint the fence working together?
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document.write( "Tom paints  of the fence length in one hour (in each hour).\r\n" );
document.write( "It is his rate of work.\r\n" );
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document.write( "Huck paints  of the fence length in one hour (in each hour).\r\n" );
document.write( "It is Huck's rate of work.\r\n" );
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document.write( "When the both work together, they paint  =  =  of the fence length in one hour. In each hour.\r\n" );
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document.write( "So, their combined rate of work is the sum of the individual rates and is equal to  of the fence length per hour.\r\n" );
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document.write( "It means that the both will complete their job in  of an hour.\r\n" );
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document.write( " of an hour is 12 minutes.  of the hour is 12*12 = 144 minutes, or 2 hours and 24 minutes.\r\n" );
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document.write( "Answer.  Both boys will complete the job in 2 hours and 24 minutes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On solving joint work problems see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Rate of work problems,\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work,\r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work,\r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
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