document.write( "Question 123636: Mrs. Jones would take 6 hours less time than her daughter to can all the tomatoes from their garden. Together they could do the job in 1/3 the time it would take the daughter alone. How long would Mrs. Jones take to can the tomatoes by herself?\r
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Algebra.Com's Answer #90701 by edjones(8007)\"\" \"About 
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Let x= daughters time in hours. 1/x = part of the job daughter can do in 1 hr.
\n" ); document.write( "mother's time = x-6. 1/x-6 = part of the job mother can do in 1 hr.
\n" ); document.write( "Job's time = x/3. 3/x = part of the job that can be done in 1 hr.
\n" ); document.write( "1/x + 1/x-6 = 3/x LCD=x(x-6)
\n" ); document.write( "x-6 + x = 3(x-6)
\n" ); document.write( "2x-6=3x-18
\n" ); document.write( "2x-2x-6=3x-2x-18+18
\n" ); document.write( "x=12
\n" ); document.write( "12-6=6 hrs mother's time.
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\n" ); document.write( "1/12 + 1/6 = 3/12 = 1/4 of the job in 1 hr. Job takes 4 hrs which is 1/3 the time it would take the daughter working alone.
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