Work Problem:

A bucket that weights 5 lb with a rope that weights 1 lb/ ft are used to draw water from a well that is 40 ft deep. The bucket is filled with 40 lb of water and pulled up at rate of 1 ft/ sec, but it leaks at a constant rate. When the bucket reaches the top, there are 20 lb of water left in it. Find the work done in pulling the bucket to the top of the well?

Question

Work Problem: 

A bucket that weights 5 lb with a rope that weights 1 lb/ ft are used to draw water from a well that is 40 ft deep. The bucket is filled with 40 lb of water and pulled up at rate of 1 ft/ sec, but it leaks at a constant rate. When the bucket reaches the top, there are 20 lb of water left in it. Find the work done in pulling the bucket to the top of the well?