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Practice mode Pipes and Cistern

A cistern is normally filled in 5 hours, but a leak in its bottom makes it take 30 minutes longer. If the cistern is full, how long will the leak take to empty it?

Correct answer A. 55 hours

Explanation

With the leak the filling time is 5.5 hours. Leak rate = 1/5 − 2/11 = 1/55 per hour, so it empties the cistern in 55 hours.

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Question 03 Pipes and Cistern

How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously? I. A can fill the tank in 16 minutes. II. B can empty the full tank in 8 minutes.

Correct answer B. II alone sufficient while I alone not sufficient to answer

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Question 04 Pipes and Cistern

How much time will the leak take to empty the full cistern? I. The cistern is normally filled in 9 hours. II. It takes one hour more than the usual time to fill the cistern because of la leak in the bottom.

Correct answer B. II alone sufficient while I alone not sufficient to answer

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