Pipes and Cistern - Quantitative Aptitude (MCQ) questions for Q. 757

Q.  A inlet pipe can fill a tank in 12 hours and an outlet pipe can empty the tank in 16 hours. If both the pipes are opened simultaneously, find the time taken to fill the tank.
- Published on 06 Jul 15

a. 36 hours
b. 12 hours
c. 4 hours
d. 48 hours

ANSWER: 48 hours
 
As the inlet can fill the tank in 12 hours, in one hour it will fill 1/12th of the tank.
Similarly, the outlet pipe in one hour can empty 1/16th part of the tank.
If both are opened simultaneously, the part of the tank filled in one hour is:
1/12 - 1/16 = 1/48
Hence, the tank gets filled in 48 hours.

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