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A bucket that weighs 3.2 pounds and a rope of negligible weight are used to draw water from a well that is 76 feet deep. The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.

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