The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.2 lb/ft. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (5/11)-horsepower (hp) motor (work output 250 ft-lb/sec), how long will it take to empty the tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 15 ft (halfway) during the first 42 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.07 lb/ft? 62.36 lb/ft? a. Set up an integral to find the work done. W = How much work does it take to empty the tank? b. How long will it take to empty the tank? minutes (Round to the nearest minute as needed.) c. How much work does it take to lower the water level halfway? twill take the pump minutes to do this work, so the pump Round to the nearest minute as needed.) C lower the water level halfway during the first 42 minutes of pumping. . In a location where water weighs 62.07 lb/ft, it will take of work to empty the tank, and it will take minutes to empty the tank. a location where water weighs 62.36 lb/ft, it will take of work to empty the tank, and it will take minutes to empty the tank. 6ft Ground level 0 y 30