document.write( "Question 324046: jake can cut and split a cord of firewood in 6 fewer hours then skyler can. when they work together it takes them 4 hours . How long would it take each of them to do the job alone \n" ); document.write( "

Algebra.Com's Answer #231959 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rate*Time=Output
\n" ); document.write( " $\"Rj%28T-6%29=1\"$
\n" ); document.write( " $\"Rj=1%2F%28T-6%29\"$
\n" ); document.write( " $\"Rs%28T%29=1\"$
\n" ); document.write( " $\"Rs=1%2FT\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"%28Rj%2BRs%294=1\"$
\n" ); document.write( " $\"Rj%2BRs=1%2F4\"$
\n" ); document.write( " $\"1%2F%28T-6%29%2B1%2FT=1%2F4\"$
\n" ); document.write( " $\"4T%2F%28T%28T-6%29%29%2B%284%28T-6%29%29%2F%28T%28T-6%29%29=T%28T-6%29%2F%28T%28T-6%29%29\"$
\n" ); document.write( " $\"4T%2B4T-24=T%5E2-6T\"$
\n" ); document.write( " $\"T%5E2-14T-24=0\"$
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( " $\"T+=+%2814+%2B-+sqrt%2814%5E2-4%2A1%2A%28-24%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"T+=+%2814+%2B-+sqrt%28196%2B96+%29%29%2F2+\"$
\n" ); document.write( " $\"T+=+%2814+%2B-+sqrt%28292%29%29%2F2+\"$
\n" ); document.write( " $\"T+=+%2814+%2B-+2sqrt%2873%29%29%2F2+\"$
\n" ); document.write( " $\"T+=+7+%2B-+sqrt%2873%29+\"$
\n" ); document.write( "Only the positive value makes sense for our problem.
\n" ); document.write( "It takes Skyler $\"T\"$ hrs or $\"7%2Bsqrt%2873%29\"$ hrs.
\n" ); document.write( "It takes Jake $\"T-6\"$ hrs or $\"1%2Bsqrt%2873%29\"$ hrs.\r
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