A planet (Blanc) is in a stable orbit with a radius of
around a black hole (Noir). Blanc has a mass of
and a radius of
. Noir has a mass of
. If intergalactic daredevil Zaphod Beeblebrox is fired in a spacecraft on a ballistic trajectory from the surface of Blanc directly towards Noir with an initial velocity of 2,500 km/s, how long until Zaphod reaches Noir? Assume no perturbations from other bodies and give your answer rounded to the nearest hour.
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