An empty bucket is filled with paint at a constant rate, and after 6 minutes the bucket is filled to 3/10 of its

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An empty bucket is filled with paint at a constant rate, and after 6 minutes the bucket is filled to 3/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 10 minutes
B. 11 minutes
C. 12 minutes
D. 13 minutes
E. 14 minutes

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Source: Manhattan GMAT

Junior | Next Rank: 30 Posts
Posts: 15
Joined: Sat May 30, 2020 10:48 pm
Since, $$\frac{3}{10}$$ of the bucket took 6 minutes to fill.

Therefore, total time to fill the bucket is $$\frac{1}{\frac{3}{10}}\cdot\ 6\ =\ \frac{10}{3}\ \cdot\ 6\ =\ 20$$ minutes.

So remaining time to fill the bucket = $$20\ -\ 6\ =\ 14$$