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There need not be any water at all in the hose! The capacity of the hose is 3.41 cubic feet.
Assuming the buckets are identical... Hose 1 fills 1/45 per minute and hose 2 fills 1/30 per minute, so together in one minute they would fill 1/45 + 1/30 ie 5/90 or 1/18, ie the bucket would be filled in 18 minutes.
unfortunately, you have not given enough information for someone to answer the question. What is the size of the hose, how many gallons are you pumping through it?
50 feet of 2.5-inch diameter hose has a volume of: 1.7 cubic feet (12.72 liquid gallons)
One gallon is 231 cubic inches. Assuming cyllindrical shape of hose, it contains 100 * 12 * 5 * PI * 0.25 * 52 cubin inches, which is 11780 cubic inches = 51 gallons.