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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?
 eagleeye
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7 out of 10 parts are filled, hence 3 parts are left.nidhis.1408 wrote: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?
To fill 7 parts, it takes minutes = 6
To fill 1 part, it takes minutes = 6/7
To fill 3 parts, it takes minutes = 3*6/7 = 18/7 minutes.

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Setting up a ratio is the best way to handle questions of this sort.nidhis.1408 wrote: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?
We know it takes 6 minutes to fill up 0.7 of the bucket:
6 min/.7 = x/1
The "1" represents 100% capacity while the ".7" represents the .7 full.
In the ratio above, we have time/fraction filled = time/ fraction filled. That's not the only way to do it. We could have also went with:
6 min/x min = .7/1
So, that's time/time = fraction filled/fraction filled.
In both cases, x solves to 60/7.
There will likely be a trap answer that corresponds to that resultthat's the right answer but to the wrong question.
The question asks how much MORE time. So, it's 60/7  6 = 60/7  42/7 = 18/7 minutes.
In problem solving, remember to always confirm that you're answering the right question, and that your answer makes sense.
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 Jeff@TargetTestPrep
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We can create the proportion:nidhis.1408 wrote: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?
6/(7/10) = n/(3/10)
60/7 = 10n/3
180 = 70n
180/70 = n
18/7 = n
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