SSC CGL 2023 PYQ — Question 52

The correct answer is option 4 i.e. $\frac{26}{5}$.

Let the work done by 1 man in 1 day be M and by 1 woman in 1 day be W

Since the total work remains the same

(10W)16 = (6M)8

⇒ $\frac{M}{W} = \frac{10}{3}$

Let M = 10 units and W = 3 units

Hence total work = 10 × 3 × 16 = 480 units 

Work completed by 12 men in 2 days = 12 × 10 × 2 = 240 units
After 2 days, 6 men left and 5 women joined 

Let them work for d days 

The work done by them = (6 × 10 + 5 × 3)d

Hence, 240 + (6 × 10 + 5 × 3)d = 480

⇒ (6 × 10 + 5 × 3)d = 240

⇒ 75d = 240

⇒ d = $\frac{240}{75}$ 

Hence, the work will be completed in $\frac{240}{75}$ + 2  = $\frac{26}{5}$ days