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
[spoiler]OA=E[/spoiler]
Source: Manhattan GMAT
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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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 = $$20\ -\ 6\ =\ 14$$
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 = $$20\ -\ 6\ =\ 14$$