In what time would a certain pond be filled by three pipes whose diameters are 1 cm, 1 1/3 cm, and 2 cm, running together, when the largest pipe alone can fill it in 61 minutes; given that the amount of water flowing in by each pipe being proportional to the square of its diameter?

1
32 minutes
2
36 minutes
3
40 minutes
4
44 minutes

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