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Quantitative Aptitude :: Pipes & Cistern - Discussion

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Choose the correct option.

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

Answer: Option (Login/Signup)

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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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