SSC GD 2023 PYQ — Question 46

SSC GD Constable (English) - 10 Jan 2023 - Shift 2 • Quantitative Aptitude • Q46

Sonal and Arjun together can finish a piece of work in 57 days, Arjun and Rohan in 38 days, and Rohan and Sonal in 38 days, then Sonal, Arjun, and Rohan together can finish the same work in how many days?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 28.5 days

Sonal and Arjun together can finish a piece of work in 57 days

Arjun and Rohan together can finish a piece of work in 38 days

Rohan and Sonal together can finish a piece of work in 38 days

Total work = 114 days

The combined efficiency of Sonal, Arjun, and Rohan = 8/2 = 4 

Hence, Sonal, Arjun, and Rohan together can finish the same work in = 114/4 = 28.5 days