Eurostar is a high speed rail service that connects London to Paris. The distance from London to the English Channel Tunnel is 108.0 km. The English Channel Tunnel is 50.5 km long. The distance from the English Channel Tunnel to Paris is 316.0 km. The train travels at a maximum speed of 300 km/hr except within the English Channel Tunnel, where a reduced speed of 160 km/hr is required for safety reasons. Required:
a. How long does the journey from London to Paris take?
b. If the resistance between the train and the track at maximum speed is 120 kN and air resistance adds an additional 20.5 kN (Note: Power = force x velocity), what is the power in horsepower required to power the engine?