14 persons can construct a wall in 12 days. In how many days can another group of 7 persons, each being only one-fourth as skilled compared to the persons in the first group, complete the construction work of this wall?
96 days
96 days is correct.
Total work = \(14 \times 12 = 168\) person-days of the first group.
Each person of the second group does one-fourth of that work per day, so 7 of them equal \(7 \times \dfrac{1}{4} = \dfrac{7}{4}\) persons of the first group.
Days needed = \(168 \div \dfrac{7}{4} = 168 \times \dfrac{4}{7} = 96\).
So the second group completes the wall in 96 days.
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Important Questions from Work Efficiency
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