A large cistern can be filled by two pipes P and Q in 15 minutes and 20 minutes respectively How man...........

Quantitative Aptitude ( CCS) Pipes&cistern

A large cistern can be filled by two pipes P and Q in 15 minutes and 20 minutes respectively. How many minutes will it take to fill the Cistern from an empty state if Q is used for half the time and P and Q fill it together for the other half?

12 minutes

17 minutes

18 minutes

19 minutes

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Explanation:

Answer & Explanation
Answer – A. 12 minutes
Explanation :
Part filled by P and Q = 1/15 + 1/20 = 7/60
Part filled by Q = 1/20
x/2(7/60 + 1/20) = 12 minutes