Cumulative fraction of dusty star-forming galaxies (DSFGs) selected at z = 3.4, 4.3, and 5.5 (from left to right) that become massive and quiescent as a function of redshift. The dark blue, purple, and orange lines represent DSFGs with sub-millimetre flux densities of 1 < S₈₇₀/mJy ≤ 3, 3 < S₈₇₀/mJy ≤ 5, and S₈₇₀/mJy > 5, respectively. The grey line indicates the fraction of DSFGs that were accreted by a more massive galaxy. We note that all DSFGs with S₈₇₀ ≳ 3 mJy are already massive at all selection redshifts. The most remarkable trend is that brighter DSFGs quench more rapidly than their fainter counterparts. For example, 50% of the bright DSFGs selected at z = 3.4, 4.3, and 5.5 become quenched by z ∼ 1.85, 2.08, and 2.54, respectively. In contrast, the fainter DSFGs across all selected redshifts tend to quench later, with similar quenched redshift, typically around z ∼ 1.3. This is because faint DSFGs selected at high redshift may continue to grow and potentially become brighter at later times.