SSC CHSL 2022 PYQ — Question 57

SSC CHSL - 30 May 2022 - Shift 3 • Quantitative Aptitude • Q57

A can do a piece of work alone in 96 days and B can do it alone in 104 days. In how many days can the duo, working together, complete the work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 49.92

Calculations:

Total work (LCM of 96 and 104) = 1248 units

Efficiency of A = 1248/96 = 13

Efficiency of B = 1248/104 = 12

Total efficiency = 13 + 12 = 25

Required time = 1248/25 = 49.92 days