SSC CGL 2023 PYQ — Question 54

SSC CGL - 17 July 2023 - Shift 3 • Quantitative Aptitude • Q54

Sarthak and Mohan have been assigned a work to design a room for a ceremony, Sarthak can design the entire room in 12 days, while Mohan can design the room in 15 days. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places).

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 6.67.

Given:

Sarthak can design the entire room in 12 days, while Mohan can design the room in 15 days

Calculations:

Total work (L.C.M of 12 and 15) = 60 units

The efficiency of Sarthak = 60/12 = 5 

The efficiency of Mohan = 60/15 = 4 

Required time taken = 60/(5 + 4) = 60/9 = 6.67 days