Latest GENPACT Aptitude Question SOLUTION: Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is ful

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Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ?
A. 8 hrs
B. 9 hrs
C. 18 hrs
D. 36 hrs

Asked In GENPACT (12 years ago)

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V.Mahesh  (9 years ago)

Ans (d) 36 hrs
2 taps can fill in 4 hrs
With leak it will take 4 1/2 hrs
now leak can empty in 1/4-1/(4 (1/2))
1/4-8/9=1/36. so it an empty tank in 36 hrs

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ramesh  (7 years ago)

Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ?
A. 8 hrs

Is this solution Helpfull? Yes (2) | No (1)  

Borhan Uddin  (7 years ago)

Part filled by (A + B) in 1 hour = (1/5 + 1/20)
= 1/4.
So, A and B together can fill the tank in 4 hours.
With leak it requires 9/2 (4+1/2) hour to fill,
So with leak in 1 hour together they fills 2/9 part.
Work done by the leak in 1 hour = (1/4 - 2/9)
= 1 / 36.
Therefore, Leak will empty the tank in 36 hrs.

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