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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


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

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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