Latest GENPACT Aptitude Question SOLUTION: 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 ful

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(#M40005621) GENPACT Numerical Ability question Pipes and cisterns Keep an EYE

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?

Asked In GENPACT (12 years ago)

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Honeymadhur  (12 years ago)

Pipe A fills the tank normally in 2 hours. Therefore, it will fill ½ of the tank in an hour.
Let the leak take x hours to empty a full tank when pipe A is shut. Therefore, the leak will empty of the tank in an hour.

The net amount of water that gets filled in the tank in an hour when pipe A is open and when there is a leak = of the tank. — (1)
When there is a leak, the problem states that Pipe A takes two and a half hours to fill the tank. i.e. hours. Therefore, in an hour, of the tank gets filled. – (2)
Equating (1) and (2), we get => => x = 10 hours.

The problem can also be mentally done as follows.

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 hours to fill the tank or or 40% of the tank gets filled.

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.

correct answer :10hours

Is this solution Helpfull? Yes (14) | No (3)  

ROHIT KUMAR GUPTA  (10 years ago)

Let time taken to empty the tank be x minute
In 1hour tank can be filled=1/120
In 1hour tank can be empty=1/x
1/120-1/x=1/150
x=600minute
x=10hour

Is this solution Helpfull? Yes (8) | No (2)  

Sundar Kumar  (9 years ago)

Answer: filled in 1 hr without a leak-filled in 1 hr with a leak
1/2 ( filled in 1 hr without a leak)
1/2.5 (filled in 1 hr with a leak)
0.5-0.4=0.1
1/10th is emptied in 1 hr .Thus 10 hrs to empty the tank

Is this solution Helpfull? Yes (3) | No (1)  

neeraja palla yadav  (9 years ago)

both filler pile and leaker work togather =2hours +30minutes
=2+0.5
=2.5
therefore time taken to leak the tank=2*2.5/2.5-2
=5/0.5
=10

Is this solution Helpfull? Yes (2) | No   

PARVY GOVIL  (10 years ago)

1/2 ( filled in 1 hr without a leak)
1/2.5 (filled in 1 hr with a leak)
0.5-0.4=0.1
1/10th is emptied in 1 hr .Thus 10 hrs to empty the tank

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

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