Question

In what time would a cistern be filled by three pipes whose diameter are 2cm, 2*2/3cm, 4cm running together, when the largest pipe alone fill the cistern in 122 minutes the amount of water flowing in  by each pipe being proportional to the square of diameter?

A 64 minutes
B 68 minutes
C 72 minutes
D 78 minutes
E None of these
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