A house with a well pump gets groundwater at a temperature of 50°F. The 55-gallon hot water heater is set to maintain water at 120°F. A typical "hot" shower is 100°F - not much above skin temperature. If the hot water heater isn't heating the water (maybe due to a power outage), but the tank is full of 120°F water, and if a shower consumes 3.0 gallons of water per minute, how long will a hot shower last? Please write this out like a mixing chamber problem in the chapter and solve.