Pipes and Cistern - Quantitative Aptitude (MCQ) questions for Q. 703

Q.  A leak at the bottom of the tank can empty the tank in 5 hours, while an inlet pipe can fill the same tank at the rate of 6 litres per minute. When the tank is full, the inlet is opened and the tank gets empty in 8 hours due to the leakage. Find the capacity of the tank.
- Published on 06 Jul 15

a. 1800 litres
b. 3600 litres
c. 4800 litres
d. 5760 litres

ANSWER: 4800 litres
 
The capacity of the tank is given by C = (p*q*r)/(r – p) litres
Where, p = time in which the leakage can empty the tank in hours = 5 hours
q = rate at which the inlet fills the tank in lph = 6*60 = 360 lph
r = time in which the tank gets emptied in hours = 8 hours
Hence, C = (5*360*8)/(8 – 5)
C = 4800 litres

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