BLOODHOUND SSC will be powered by three engines. Two the Eurojet EJ200 jet engine and the Nammo rocket/rocket cluster will provide the thrust, while the third a Jaguar Supercharged V8 engine will act as an auxiliary power unit to drive the rocket oxidiser pump.
At full power the jet will be providing 90kN of thrust and the rocket 120kN. Together thats 135,000 thrust horsepower, which is more than eight times the power of the cars on the Formula 1 racing car grid combined.
http://www.bloodhoundssc.com/project/car/engines
Thanks for that additional detail.