# SOLUTION: 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 alon

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 Click here to see ALL problems on Miscellaneous Word Problems 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? ___hrsAnswer by edjones(7569)   (Show Source): You can put this solution on YOUR website!Let x= daughters time in hours. 1/x = part of the job daughter can do in 1 hr. mother's time = x-6. 1/x-6 = part of the job mother can do in 1 hr. Job's time = x/3. 3/x = part of the job that can be done in 1 hr. 1/x + 1/x-6 = 3/x LCD=x(x-6) x-6 + x = 3(x-6) 2x-6=3x-18 2x-2x-6=3x-2x-18+18 x=12 12-6=6 hrs mother's time. . Check: 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. . Ed