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?
Setting up a ratio is the best way to handle questions of this sort.
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 result--that'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.
Cheers
