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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...

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by BTGmoderatorLU » Wed Feb 10, 2021 8:14 am
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Source: Manhattan Prep

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

The OA is D
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Re: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its...

by Scott@TargetTestPrep » Thu Feb 18, 2021 10:37 am
BTGmoderatorLU wrote: ↑
Wed Feb 10, 2021 8:14 am
 Source: Manhattan Prep

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

The OA is D
Solution:

We see that it takes 6 minutes to fill 7/10 of the bucket. Letting n = the number of minutes needed to fill the remaining 3/10 of the bucket, 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

Scott Woodbury-Stewart
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