SSC GD 2025 PYQ — Question 59

SSC GD Const 2025 (English) - 19 Feb 2025 - Shift 1 • Quantitative Aptitude • Q59

A can finish a work in 16 days, and B can do the same work in 12 days. The question text seems to be cut off, but the provided options suggest it is asking for the time taken to complete the work together or in a similar work-related scenario.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 1, i.e.487\mathbf{48\over7}.

A = 16 days → efficiency = 1161\over16 work/day

B = 12 days → efficiency = 1121\over12 work/day

⇒ 1161\over16 + 1121\over12 → LCM of 16 and 12 = 48

⇒  (3483\over48 + 3483\over48) = 7487\over48 work/day

⇒ Time = 1 ÷ (7487\over48) = 487\mathbf{48\over7} days