Question
A cistern is normally filled in 18 hours, but it takes
12 hours longer to fill because of a leak at its bottom. If the cistern is full, how long will it take to empty it?Solution
Let pipe is A and leak is B Â Â AÂ Â Â Â Â Â Â Â Â Â Â Â Â A+B Â Â 18Â Â Â Â Â Â Â Â Â Â Â Â Â Â 30 Let total tank = LCM(18,30) = 90 L Â 5Â Â Â Â Â Â Â :Â Â Â Â Â Â Â Â Â Â 3 So 1 hr work of leak = 3 - 5 = -2 Therefore, the leak will drain all the water of the tank in 90/2 = 45 hours.
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