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Ans- It will take 4 men to complete the work in 35 days.

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8 children and 12 men complete a certain piece of work in 9 days Each child takes twice the time taken by a man to finish the work In how many days will 12 men finish the same work?

13.5 days Rate of work for men = m Rate of work for children = c Therefore if we combine the rates: m + c = 1/9 Since rate = work-done/time Now m = 2c since rate of men is twice the rate of children Similarly, c = m/2 (rearranging the above) Equation becomes: m + m/2 = 1/9 3m/2 = 1/9 3m = 2/9 m = 2/27 This is the rate at which men work. For the men to complete the work, it will take x days. Rate = work/time Rate = work/x Work is 1 Rate is 2/27 2/27 = 1/x x = 27/2 x = 13.5


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8 children and 12 men complete a certain piece of work in 9 days Each child takes twice the time taken by a man to finish the work In how many days will 12 men finish the same work?

13.5 days Rate of work for men = m Rate of work for children = c Therefore if we combine the rates: m + c = 1/9 Since rate = work-done/time Now m = 2c since rate of men is twice the rate of children Similarly, c = m/2 (rearranging the above) Equation becomes: m + m/2 = 1/9 3m/2 = 1/9 3m = 2/9 m = 2/27 This is the rate at which men work. For the men to complete the work, it will take x days. Rate = work/time Rate = work/x Work is 1 Rate is 2/27 2/27 = 1/x x = 27/2 x = 13.5


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