SSC CPO 2023 PYQ — Question 103

SSC CPO - 03 Oct 2023 - Shift 2 • Quantitative Aptitude • Q103

John can do a piece of work alone in 20 days, while Ravi can do the same piece of work alone in 28 days. In how many days can the duo complete the same work if they work together?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 112311 {2{} \over 3}.

Concept used:

Work done = Efficiency × time

Calculations:

Let the total work done by John and Ravi (LCM of 20 and 28) = 140 units

Efficiency of John = 140/20 = 7 units

Efficiency of Ravi = 140/28 = 5 units

Required time = Total work done/(efficiency of john + efficiency of ravi)

⇒ 140/12 = 112311 {2{} \over 3} days