CAT 2025 Slot 2 QA Question 16: Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together on a job, and Bipin leaves the job after 20 days. If the job got completed in 60 d

Question

Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together on a job, and Bipin leaves the job after 20 days. If the job got completed in 60 d

Accepted Answer

Let Chandan's efficiency be $1$ unit per day.

Then Bipin's efficiency is $2$ units per day and Ankita's efficiency is $4$ units per day.

For the first $20$ days, all three work together.
$	ext{Work} = 20(1+2+4) = 140$

For the next $40$ days, only Ankita and Chandan work.
$	ext{Work} = 40(4+1) =

Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together on a job, and Bipin leaves the job after 20 days. If the job got completed in 60 days, the number of days needed by Chandan to complete the job alone, is