Question : 12 men can complete a work in 6 days working 4 hours per day. If 4 men work 8 hours per day, then in how many days the same work will be completed?
Option 1: 8 days
Option 2: 6 days
Option 3: 9 days
Option 4: 10 days
Correct Answer: 9 days
Solution :
Time taken by 12 men working 4 hours daily = 6 days
$\therefore$ Volume of work = 12 × 6 × 4 = 288
Let the time taken by 4 men working 8 hours daily be $x$ days.
According to the question,
$x × 8 × 4 = 288$
$\therefore x= \frac{288}{32}= 9$
Hence, the correct answer is 9 days.
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