document.write( "Question 919340: Jenny can cut and split a cord of firewood in 3 fewer hours than Tim can. When they work together it takes them 2 hours . How long would it take for them to do the job alone? \n" ); document.write( "

Algebra.Com's Answer #557648 by ewatrrr(24785) $\"\"$ $\"About$

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x Tim's time
\n" ); document.write( " $\"1%2F%28x-3%29+%2B+1%2Fx+=+1%2F2\"$ |Multiplying thru by 2x(x-3) so as all denominators = 1
\n" ); document.write( "2x + 2(x-3) = x(x-3)
\n" ); document.write( "4x - 6 = x^2 - 3x
\n" ); document.write( "x^2 - 7x + 6 = 0 Factoring
\n" ); document.write( "(x-6)(x-1) = 0 |Note x = 1 Extraneous
\n" ); document.write( "x = $\"+highlight_green%286hr%29\"$ , Tim's time. Jenny $\"+highlight_green%283hr%29\"$ $\"6-3\"$
\n" ); document.write( "And...checking
\n" ); document.write( "1/3 + 1/6 = 3/6 = 1/2 \n" ); document.write( "

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