Quantitative Aptitude :: Pipes & Cistern - Discussion
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Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?
A14 hours
B15 hours
C10 hours
DNone of these
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Solution:
Pipe A takes 2 hours to fill the tank. Therefore, it fills half the tank in an hour or 50% of the tank in an hour.
When there is a leak it takes 2 hours 30 minutes for the tank to fill. i.e 5/2 hrs hours to fill the tank or 2/5th or 40% of the tank gets filled in 1 hr.
On account of the leak, (50−40)%=10% of the water gets wasted every hour. Therefore, the leak will take 10 hours to drain a full tank.
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Solution:
Pipe A takes 2 hours to fill the tank. Therefore, it fills half the tank in an hour or 50% of the tank in an hour.
When there is a leak it takes 2 hours 30 minutes for the tank to fill. i.e 5/2 hrs hours to fill the tank or 2/5th or 40% of the tank gets filled in 1 hr.
On account of the leak, (50−40)%=10% of the water gets wasted every hour. Therefore, the leak will take 10 hours to drain a full tank.
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