A bucket that weighs 3.4 pounds and a rope of negligible weight are used to draw water from a well that is 81 feet deep. The bucket is filled with 43 pounds of water and is pulled up at a rate of 3 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)

Work =

Hint: