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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

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by VJesus12 » Sat May 30, 2020 3:25 pm

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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

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
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Junior | Next Rank: 30 Posts
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Re: An empty bucket is filled with paint at a constant rate, and after 6 minutes the bucket is filled to 3/10 of its

by orthodoxparadox » Sat May 30, 2020 11:25 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 = $$20\ -\ 6\ =\ 14$$
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