A leaky bucket that weighs 6 lb and a rope of neglible weight are used to draw water from a well that is 377 ft deep. The bucket is filled with 44 lb of water and is pulled up at a rate of 4 ft/sec, but water leaks out of the bucket at a rate of 0.5 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
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