Two pipes P and Q can fill a cistern in 36 and 48 minutes respectively Both pipes are opened togethe...........

Quantitative Aptitude ( CCS) Pipes&cistern

Two pipes P and Q can fill a cistern in 36 and 48 minutes respectively. Both pipes are opened together, after how many minutes should Q be turned off,so that the cistern be fill in 24 minutes?

6 min

10 min

12 min

16 min

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Explanation:

P can fill the cistern in 36 minutes,so in 1 min, P can fill the cistern = 1/36th part
In 24 min, P can fill the cistern = 24/36 = 2/3rd. Remaining part = 1- 2/3 = 1/3rd
As Q can fill full cistern in 48 minutes,so it will fill
1/3rd part in 16 minutes.