Question 6.

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

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Text Explanation
Let Chandan’s one-day work = x.
Then Bipin = 2x and Ankita = 4x.
All three work together for the first 20 days. Their combined daily work = $x + 2x + 4x = 7x$.
Work done in 20 days = $20\times7x = 140x$.
Bipin leaves after 20 days; Ankita and Chandan continue for the remaining (60-20=40) days.
Their combined daily work = $4x + x = 5x$. Work done in 40 days = $40\times5x = 200x$.
Total work = $140x+200x=340x$. 
We know that Chandan does x work in a day. So, the number of days it takes him to finish the work is 340.
Answer: 340 days.
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