The speed limit on cycling paths is 25kmh.
Madam Ong, a logistics assistant packer, was riding her bicycle perpendicularly across the path towards a nearby zebra crossing.
Hung noticed her entering the path, but could not prevent a collision with Madam Ong's bicycle because of his speed.
Both were taken to the hospital, where Madam Ong was found to have suffered various injuries, including to her brain, ribs and face. She went into a coma and died four days later.
Hung is expected to be sentenced on May 20.
For causing death by a rash act, he can be jailed for up to five years or fined, or both.