A Bucket Weighs 7 Lb and a Rope of Negligible $3140 \mathrm{ft}-\mathrm{lb}$

A bucket weighs 7 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket starts with 50 lb of water and is pulled up at a rate of 10 ft/s, but water leaks out of a hole in the bucket at a rate of 0.5 lb/s. Find the work done in pulling the bucket to the top of the well.

A) $3140 \mathrm{ft}-\mathrm{lb}$
B) $2740 \mathrm{ft}-1 \mathrm{~b}$
C) $2640 \mathrm{ft}-1 \mathrm{~b}$
D) $4140 \mathrm{ft}-\mathrm{lb}$
E) $3640 \mathrm{ft}-\mathrm{lb}$