A garden hose attached with a nozzle is used to fill a 20-gal bucket. The inner diameter of the hose is 1 in and it reduces to 0.5 in at the nozzle exit. If the average velocity in the hose is 8 ft/s, determine
(a) The volume and mass flow rates of water through the hose,
(b) How long it will take to fill the bucket with water, and
(c) The average velocity of water at the nozzle exit.