CAT 2023 Slot 3 Solved Paper

Let ' g ' and 's' be the efficiencies of Gautam and Suhani. Let W is the total amount of work.
⇒g+s=W/20 (1 day work ) → (1)
Also Gautam doing only 60%⇒3g/5 and Suhani doing 150%⇒3 s/2
‌⇒3g∕5+3 s/2=W/20(1 day work)
‌⇒g+s=‌

3g

5

+‌

3s

2

⇒‌

s

g

=‌

4

5

⇒ Gautam is the more efficient person.
Now, from the 1st equation
‌⇒g+‌

4g

5

=‌

W

20

‌⇒‌

9

5

g=‌

W

20

‌⇒g=‌

W

36

⇒ Gautam takes 36 days to finish the complete work.