Among four persons Anuj Bhim Carl and Dinesh Anuj takes thrice as much time as Bhim to complete a pi...........

Quantitative Aptitude (CCS) Time and work

Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.

20 days

30 days

40 days

50 days

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Explanation:

Explanation :
Let Bhim takes x days alone to complete the job, so Anuj will take 3x days, Carl will take x/3 days and Dinesh will take x/9 days to complete the work alone
1/3x + 1/x + 3/x + 9/x = 1/3
Solve for x
x = 40 days