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:
Wed Nov 03, 2021 6:42 am
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
We can create the proportion:

6/(7/10) = n/(3/10)

60/7 = 10n/3

180 = 70n

180/70 = n

18/7 = n

Answer: D

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BTGmoderatorDC wrote:
Wed Nov 03, 2021 6:42 am
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
Suppose, capacity \(= 70 .\)
So, to fill \(\dfrac{7}{10}\) of \(70\) i.e. \(49,\) it took \(6\) minutes.

Hence, to fill \(70\) it will take \(= 10\ast \dfrac{6}{7} = \dfrac{60}{7}\) minutes.

So, additional time \(= \dfrac{60}{7} - 6 = \dfrac{18}{7} \Longrightarrow \) D