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to bring forward (e.g. by 3 hours); to advance; to hasten (e.g. one's death); to expedite; to precipitate
to quicken (e.g. one's step); to speed up; to accelerate
新薬の承認手続きを速める法案が提出された。
A bill to expedite the approval process for new drugs was submitted.
納期に間に合わせるため作業の速度を速めた。
The pace of work was quickened to meet the deadline.
危険を感じて足を速めた。
Sensing danger, she quickened her pace.