Jasmine is filling a trough with water for her horses. The trough is 16 ft16\text{ ft} long and its ends are isosceles triangles that are 4 ft4\text{ ft} across at the top and a height of 2 ft2\text{ ft}. She's filling the trough at a rate of 14 ft3/min14\text{ ft}^3\text{/min}, and is curious as to how fast is the water level rising when the water is 10 inches10\text{ inches} deep?

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