SSC CPO 2023 PYQ — Question 109

SSC CPO - 04 Oct 2023 - Shift 3 • Quantitative Aptitude • Q109

Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e.  912\frac{1}{2}

Concept used:

Total work = Time × Efficiency

Calculations

Total work done (LCM of 8 and 12) = 24 units

Efficiency of Sanjay = 24/8 = 3 

Efficiency of Rohan = 24/12 = 2

Work done in 2 days = 5 units

Work done in 8 days = 20 units

Work done in 9 days = 23 units

Work done in 9(1/2) days = 24 units