SSC GD 2024 PYQ — Question 43

The correct answer is option 4 i.e.  4 days.

Manish's rate = 1 / 48  of the work per 

Pratap's rate = $\frac{48}{2} = 24$ 

=$\frac{1}{24}$ of the work per day

Combined rate = $\frac{1}{48} + \frac{1}{24}$

⇒$\frac{1}{48} + \frac{1}{24} = \frac{1}{48} + \frac{2}{48} = \frac{3}{48} = \frac{1}{16}$

Let
x be the number of days required for both to complete $\frac{1}{4}$ of the work.

Work completed = $\frac{1}{16} \times x$ = 1/ 4

⇒ $\frac{x}{16} = \frac{1}{4}$

⇒ $x = 16 \times \frac{1}{4} = 4$ days.