Question

A large cistern can be filled by two pipes, P and Q, in 16 minutes and 24 minutes, respectively. Pipe R can empty the cistern in 32 minutes. How many minutes will it take to fill the cistern starting from empty if:
i)   Pipes P and R are used to fill 25% of the cistern, ii)  Pipes Q and R are used to fill the next 25%, iii) Pipes P and Q are used to fill the remaining 50% of the cistern?

A 36.8 minutes
B 25.8 minutes
C 45 minutes
D 22 minutes
E None of these
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