A leak at a bottom of a full tank can empty it in 8 hrs. An inlet pipe fills it at the rate of 6 litres per minute. The tank is full and inlet is opened and due to the leak it gets empty in 12 hrs. What is the capacity of the tank?

Options
- 7580 litres
- 7960 litres
- 8290 litres
- 8640 litres

CORRECT ANSWER : 8640 litres

Discussion Board
Aptitude

Alone Leakage take 8 hours for empty a full tank,

Now; tank is full, inlet is open and due to leak tank is empty in 12 hours;
So;
efficiency time. L.C.M
-3 leak. 8 hours. } 24
-2 leak+inlet. 12 hours. }

Now ; (efficiency of inlet pipe) fill a tank with leakage ;

Efficiency of inlet pipe is -2+3=1litre per hour

And; it take time to fill a tank with leakage is
1×time=24;
Time=24 hours

Inlet pipe take 24 hours with leakage to fill a tank.

Now; Alone inlet pipe efficiency is 6 litre per minute without leakage,

So; total capacity of a tank is;
{24 hours}×{6 litre per minutes}
{(24×60) minute}×{6 litre per minute}
1440×6= 8640
So the capacity of a tank is 8640 litre.

Atul Singh Panwar 04-22-2019 03:22 PM

Ans

Let inlet alone take ''x'' hrs to fill the tank
Now, ( inlet+leak) in 1 hrs= -1/12(emptying)
I.e. 1/x+(-1/8)= -1/12
1/x= -1/12+1/8
1/x = 1/24
X= 24 hrs
1 min = 6liters
(24*60) min = ?

6*60*24= 8640 liters

Anjali 11-16-2018 09:17 AM

ANS....8640

By inlet tube in 12 hour=4320 lit
Full tank gets empty in 8 hour by leakage and now rest water by inlet pipe takes 4 hour for leakage.
in 4 hour=4320 lit
in 8 hour=4320*2=8640lit.


or

We consider x and y are time for empty and fillup respectively...
now formulae is....
1/x+1/y=xy/x+y is time for empty(n.b: for simultaneous condition)

so.....1/8+1/y=8y/8+y
y=24
capacity of tank is 24*360=8640 lit
BY SADANANDA PAL

sadananda pal 08-6-2016 06:37 AM

hello sir

please give the explanations along with the answer. if there any shortcut to solve the question, please mention it. it is helpful to solve the questions at the time of aptitude test.

neenu k lal 10-24-2014 09:21 PM

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