Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallon

Question

Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the two vats have the same amount of liquid?

GPT-5 mini · Answer

Let t be minutes from now. Amounts: first vat = 6t, second vat = 28 + 4t.  
Set equal: 6t = 28 + 4t → 2t = 28 → t = 14 minutes.

They will each have 84 gallons (6·14 = 84).

Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the two vats have the same amount of liquid?

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