Question : If 7 people working 4 hours a day can complete a task in 14 days. The number of days taken by 12 people working 8 hours a day will be:
Option 1: $5 \frac{1}{8}$ days
Option 2: $8$ days
Option 3: $4 \frac{1}{12}$ days
Option 4: $7 \frac{1}{4}$ days
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Correct Answer: $4 \frac{1}{12}$ days
Solution : Total work = Number of people × Number of hours per day × Number of days $= 7 \times 4 \times 14 = 392$ Let $x$ be the number of days required. So, $392 = 12\times 8\times x$ $\therefore x = \frac{392}{96} = 4\frac{1}{12}$ days Hence, the correct answer is $4\frac{1}{12}$ days.
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