CAT 2023 Slot 3 Solved Paper

Let ' $\mathit{g}$ ' and 's' be the efficiencies of Gautam and Suhani. Let $\mathrm{W}$ is the total amount of work.
$\Rightarrow \mathit{g}+\mathit{s}=\mathit{W}/20$ (1 day work ) → (1)
Also Gautam doing only $60\%\Rightarrow 3\mathrm{g}/5$ and Suhani doing $150\%\Rightarrow 3\mathrm{}\mathit{s}/2$
$\Rightarrow 3\mathrm{g}∕5+3\mathrm{}\mathit{s}/2=\mathrm{W}/20$(1 day work)
$\Rightarrow \mathit{g}+\mathit{s}=\frac{3\mathit{g}}{5}+\frac{3\mathit{s}}{2}$
$\Rightarrow \frac{\mathit{s}}{\mathit{g}}=\frac{4}{5}$ ⇒ Gautam is the more efficient person.
Now, from the 1st equation
$\Rightarrow \mathit{g}+\frac{4\mathit{g}}{5}=\frac{\mathit{W}}{20}$
$\Rightarrow \frac{9}{5}\mathit{g}=\frac{\mathit{W}}{20}$
$\Rightarrow \mathit{g}=\frac{\mathit{W}}{36}$
⇒ Gautam takes 36 days to finish the complete work.