A rocket in outer space has a payload of 4530.0 kg and 1.597·105 kg of fuel. The rocket can expel propellant at a speed of 3.300 km/s.
Assume that the rocket starts from rest, accelerates to its final velocity, and then begins its trip. How long will it take the rocket to travel a distance of 3.82 ·105 km (approximately the distance between Earth and Moon)?