A leaky bucket that weighs 3 lb and a rope of neglible weight are used to draw water from a well that is 358 ft deep.

A leaky bucket that weighs 3 lb and a rope of neglible weight are used to draw water from a well that is 358 ft deep. The bucket is filled with 41 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).