Suppose the gasoline in a car engine burns at 637 oC, while the exhaust temperature (the temperature of the cold reservoir) is 106 oC and the outdoor temperature is 31.6 oC. Assume that the engine can be treated as a Carnot engine (a gross oversimplification). In an attempt to increase mileage performance, an inventor builds a second engine that functions between the exhaust and outdoor temperatures and uses the exhaust heat to produce additional work. Assume that the inventor's engine can also be treated as a Carnot engine. Determine the ratio of the total work produced by both engines to that produced by the first engine alone.