A tap takes extra 36 hours when leakage of half capacity drain pipe working in the bottom of the tan...........

Quantitative Aptitude (CDS) Pipes&cistern

A tap takes extra 36 hours when leakage of half capacity drain pipe working in the bottom of the tank. Find the time taken by Leakage's capacity to empty the tank?

36hr

72hr

18hr

54hr

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Explanation:

let tap take t time
due to leakage it take extra 36 hours
total time =t+36 hours
tank filled in t+36 when leakage work
capacity of leakage is 2t
t+36(1/t - 1/2t)=1
t+36(1/2)=t
t=36 hours
leakage capacity 2t hours=72 hours