SSC CGL 2022 PYQ — Question 64

SSC CGL - 03 Dec 2022 - Shift 1 • Quantitative Aptitude • Q64

Ruchi, Khushi and Teju can do a piece of work in 30, 40 and 60 days respectively. In how many days can Ruchi do the work, if she is assisted by both Khushi and Teju on every third day?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 854{{85} \over 4}days

Calculations:

Total work (LCM of 30, 40 and 60) = 240 units

Efficiency of Ruchi = 240/30 = 8 units

Efficiency of khushi = 240/40 = 6 units

Efficiency of teju = 240/60 = 4 units

Total efficiency = 18 units

Work done in 3 days = 8 + 8 + 18 = 34 units

Work done in 21 days = 238 units

Now the 2 unit work will be done = 2/8 days

Total time taken = 21 + 1/4 = 85/4 days