An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How

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An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5


OA D

Source: Manhattan Prep

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BTGmoderatorDC wrote:
Thu Sep 16, 2021 3:59 pm
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?

A. 7/18
B. 9/18
C. 2
D. 18/7
E. 18/5


OA D

Source: Manhattan Prep
Rate \(=\dfrac{7}{10} \ast \dfrac{C}{6} = \dfrac{7}{60} \ast C\)

So, for full capacity, time taken \(=\dfrac{60}{7}\)

Extra time taken to fill the capacity \(=\) time for full tank \(-\) time for \(\dfrac{7}{10}\) capacity \(= \dfrac{60}{7}-6 =\dfrac{18}{7}\)

Therefore, D