CAT 2023 Slot 3 QA Question 16: Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then,

Question

Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then,

Accepted Answer

Let Gautam’s and Suhani’s usual daily work rates be g and s.

Together they finish the job in 20 days, so

$g + s = \dfrac{1}{20}$

If Gautam does only 60% of his work, the shortage is $40\%$ of g. Suhani doing 150% of her work gives an extra $50\%$ of s. These are equal.

$0.4g = 0.5s$
$4g = 5s$
$g

Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then, the number of days required by the faster worker to complete the job working alone is