A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 90 ft deep. The bucket is filled with 44 lb of...

A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 90 ft deep. The bucket is filled with 44 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done W in pulling the bucket to the top of the well.