Question : In 6 minutes, $\frac{4}{13}$ of a bucket is filled. How much time will it take to fill the remaining bucket?
Option 1: 13 minutes 30 seconds
Option 2: 14 minutes 30 seconds
Option 3: 11 minutes 30 seconds
Option 4: 12 minutes 30 seconds
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Correct Answer: 13 minutes 30 seconds
Solution :
Work = Efficiency × Time
Let the capacity of the bucket be 13 units, then 4 units will be filled in 6 minutes.
then, 1 unit is filled in $\frac{6}{4}$ minutes = 1.5 minutes
So, the remaining 9 units be filled in = 9 × 1.5 = 13.5 minutes
Hence, the correct answer is 13 minutes 30 seconds.
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